lajos molnar { professional dataneumann.math.unideb.hu/~molnarl/cvteljes.pdf · mathematics 3 (in...

2

LAJOS MOLNAR – PROFESSIONAL DATA

September 27, 2015

Office Address: Department of Analysis,Bolyai Institute,University of Szeged,H-6720 Szeged, Aradi vertanuk tere 1.Hungary

E-mail: [email protected]: http://www.math.unideb.hu/˜molnarl/

Born: August 19, 1964; Kemecse, HungaryCitizenship: HungarianMarital Status: Married, two daughters (born in 1994, 1997)

Degrees

MSc: Mathematics, University of Debrecen, 1988 (Antal Jarai, Adviser).Thesis: A class of measures equivalent to the Haar-measure, andstochastic processes on groups.

PhD: Mathematics, University of Debrecen, 1990. Thesis: HS opera-tor valued c.a.g.o.s. measures and reproducing kernel Hilbert A-modules.

DSc: Mathematics, Hungarian Academy of Sciences, 2005. Dissertation:Preserver Problems on Algebraic Structures of Linear Operators andon Function Spaces

1

2

Employment

1988-1989: Assistant, Department of Mathematics, Teacher’s Training College,Nyıregyhaza, Hungary.

1989-1993: Assistant, Institute of Mathematics and Informatics, University ofDebrecen, Debrecen, Hungary.

1993-1996: Assistant Professor, Institute of Mathematics and Informatics,University of Debrecen, Debrecen, Hungary.

1996-2007: Associate Professor, Institute of Mathematics and Informatics,University of Debrecen, Debrecen, Hungary.

2007- : Full Professor, Institute of Mathematics, University of Debrecen,Debrecen, Hungary.

2010-2013: Head of Department of Analysis, Institute of Mathematics, Univer-sity of Debrecen, Debrecen, Hungary.

2012 Spring: Visiting Full Professor, Department of Mathematical Sciences,University of Memphis, Memphis, USA.

2015- : Full Professor, Bolyai Institute, University of Szeged, Szeged, Hun-gary.

2015- : Chair of Department of Analysis, University of Szeged, Szeged,Hungary.

Research Interest

In general: Functional Analysis, Operator Theory

More specifically:

Operator algebras: isomorphisms, isometries, derivations,preservers, reflexivity.

Function algebras: isomorphisms, isometries.Quantum structures: algebraic structures of operators in

quantum mechanics and their transform-ations.

Inner product structures: H∗-algebras, Hilbert modules.

Visiting Researcher for Longer Period

1996: March-May, University of Maribor, Maribor, Slovenia, Scholarship ofSoros Foundation.

3

1996: October-December, University of Maribor, Maribor, Slovenia, Hun-garian State Eotvos Scholarship.

1997: March-August, University of Paderborn, Paderborn, Germany, Schol-arship of the Konferenz der Deutschen Akademien der Wis-senschaften.

2002: July-June, 2003, University of Dresden, Dresden, Germany, Re-search Fellowship of Alexander von Humboldt Foundation.

2008: June-August, University of Dresden, Dresden, Germany, Alexandervon Humboldt Foundation.

2010: June-August, University of Dresden, Dresden, Germany, Alexandervon Humboldt Foundation.

2011: June-September, University of Ljubljana, Ljubljana, Slovenia, Re-search grant by the Slovenian Research Agency (ARRS) forrenowned researchers from abroad.

2012: January-May, University of Memphis, Visiting Full Professor.2013: September (1 month), University of Calabria and Instituto Nazionale

di Fisica Nucleare (INFN), Cosenza, Italy.2015: July (1 month), University of Calabria and Instituto Nazionale di

Fisica Nucleare (INFN), Cosenza, Italy.

Host of Visiting Researcher for Longer Period

2004: February-April, Gregor Dolinar, University of Ljubljana.

Grants, Research Projects

1991-1994: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. 1652. Team member.

1995-1998: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. T–016846. Team member.

1996-1999: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. F–019322. Project leader.

1997-1999: Bilateral research project supported by the Hungarian andSlovene governments. Registration No. OMFB SLO-2/96.Project leader on the Hungarian side.

1997-1999: Grant from the Ministry of Education, Hungary. RegistrationNo. FKFP 0304/1997. Project leader.

1999-2002: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. T030082. Team member.

4

2000-2002: Grant from the Ministry of Education, Hungary. RegistrationNo. FKFP 0349/2000. Project leader.


2001-2002: Bilateral research project supported by the Hungarian andSlovene governments. Registration No. SLO-3/00. Projectleader on the Hungarian side.



2004-2007: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. T046203. Project leader.


2007-2009: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. NK68040. Team member.


2010-2014: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. K81166. Project leader.

2010-2014: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. NK81402. Team member.

2011: Grant by the Slovenian Research Agency (ARRS) for renownedresearchers from abroad. Registration No. 1000-11-780001

2012-2013: Bilateral research project supported by the Hungarian andSlovene governments. Registration No. TET 10-1-2011-0617.Project leader on the Hungarian side.

2012-2017: ”Lendulet” Research Grant by the Hungarian Academy of Sci-ences. Head of Research Group.

2015-2016: HAS-MOST Hungarian-Taiwanese bilateral research project.Project leader on the Hungarian side.

2015-2019: Grant from the Hungarian Scientific Research Fund (OTKA),Grant No. K115383. Project leader.

Awards, Decorations, Honours, Prizes

1992: Geza Grunwald Award of Janos Bolyai Mathematical Society,Hungary

5

1996: Scholarship of the Konferenz der Deutschen Akademien derWissenschaften.

1997: Szechenyi Professorship for the period 1998-2001, Ministry ofEducation, Hungary

1998: Award of the International Symposia on Functional Equationsfor outstanding contribution to the 36th Symposium, 36thISFE, Brno, Czech Republic

1999: Pal Erdos Award of the Mathematical Section of the HungarianAcademy of Sciences

2002: Research Fellowship of Alexander von Humboldt Foundation for2002-2003.

2002: Bolyai Scholarship for the period 2002-2005, Hungarian Acad-emy of Sciences, Hungary

2006: Bolyai-Plaquette, Hungarian Academy of Sciences2008: ”Publication of the Year” gold medal in the category of Science

and Technology, University of Debrecen2011: Grant by the Slovenian Research Agency (ARRS) for renowned

foreign researchers for a 3-months research stay2011: Academy Prize of the Hungarian Academy of Sciences2012: Winner of the Momentum (Lendulet) Program of the Hungarian

Academy of Sciences2015: Decoration called ”Knight’s Cross of the Order of Merit of the

Republic of Hungary” given by the President of Hungary.

Organizing Conferences

1999: Functional Analysis and Applications: Memorial Conference forBela Szokefalvi-Nagy, August 2–August 6, 1999, Szeged, Hun-gary. Local organizer.

2003: Von Neumann Centennial Conference: Linear Operators andFoundations of Quantum Mechanics, Budapest, Hungary, 15-20 October, 2003. Member of the Organizing Committee.

2013: ”Lendulet” FIFA’13 Workshop, University of Debrecen, April26-27, 2013, Debrecen, Hungary. Main organizer.

2013: Numbers, Functions, Equations 2013, June 28-30, 2013,Visegrad, Hungary. Member of the Organizing Committee.

2014: Young Functional Analysts’ Meeting 2014, Institute of Mathe-matics, April 11-13, 2014, Debrecen, Hungary. Main organizer.

2014: CIMPA Research School on ”Operator theory and the prin-ciples of quantum mechanics” University Moulay Ismail, 2014September 8-17, Meknes, Morocco. Member of the ScientificCommittee.

6

Editorial Work

Editor of Acta Math. Acad. Paedagog. Nyhaziensis. N.S.Editor of Journal of Linear and Topological AlgebraEditor of Journal of Mathematical AnalysisEditor of Linear and Multilinear AlgebraEditor of Mathematica SlovacaEditor of Operators and MatricesEditor of Periodica Mathematica HungaricaEditor of Publicationes Mathematicae (Debrecen)Previously: Editor of Versita de Gruyter Book Publishing Pro-gram in Mathematics

Other Scientific Activities

2006-2009: Member of the Mathematical Jury of the Hungarian ScientificResearch Fund

2007-2012: Member of the Doctoral Committee of the Section of Mathe-matics, Hungarian Academy of Sciences

2008-2011: Chairman of the Committee of Mathematics and Physics, De-brecen Branch of the Hungarian Academy of Sciences

2009-2011: Member of the Collegium ”Natural Sciences and Technology”of the Hungarian Scientific Research Fund

2010-2014: Councillor of the International Quantum Structure Association2011-2014: Member of the Mathematical Committee of the Section of

Mathematics, Hungarian Academy of Sciences2013-: Member of the Advisory Board of Janos Bolyai Research Fel-

lowship, Hungarian Academy of Sciences2014-: Member of the Doctoral Committee of the Faculty of Science

and Informatics, University of Szeged2014-: Member of the Doctoral Council of the Hungarian Academy of

Sciences

Membership in Societies

1989-: Member of Janos Bolyai Mathematical Society.1994-: Member of the American Mathematical Society.2008-: Member of the International Quantum Structure Association.

7

2013-: Member of the International Linear Algebra Society.

University Activities

1995-1996: Scientific advisor of the Library of the Institute of Mathematicsand Informatics, University of Debrecen.

1995-1997: Member of the Mathematical Committee of the Institute ofMathematics and Informatics, University of Debrecen.

2005-2007: Vice-director of the Institute of Mathematics, University of De-brecen.

2008-2011: Member of the Scientific and Habilitation Council of the Facultyof Science and Technology, University of Debrecen.

2008-2015: Leader of the program ”Functional Analysis” in the DoctoralSchool ”Mathematics and Computer Sciences”, University ofDebrecen.

Teaching Activities

University of Debrecen:For undergraduates: Linear Algebra, Analysis I, II, III, Dif-ferential Equations, Real Variables, Measure and Integration,Complex Variables.Mathematics 3 (in English) for foreign students of physics andelectrical engineering, College Math - Functions (in English) forforeign students.For graduates and PhD students: Functional Analysis, Ba-nach Algebras, C∗-algebras, von Neumann Algebras.

Budapest University of Technology and Economics:Selected Topics in Functional Analysis, graduate course in 2014.

Teaching Activities Abroad

1996: Wintersemester, University of Maribor, Slovenia. GraduateCourse in Real Analysis.

1997: Summersemester, University of Paderborn, Germany. SeminarFunktionentheorie/Zahlentheorie.

8

2012: Springsemester, University of Memphis, Undergraduate Courseon Linear Algebra.

2015: Special courses, Niigata University, Niigata, Japan. Undergrad-uate course on Functional Analysis. Graduate course on Pre-server Problems.

Lecture Notes

[1] Complex Functions, manuscript, in Hungarian, 1992.[2] Spectral Theory and von Neumann Algebras, manuscript, in

Hungarian, 1994.[3] Banach Algebras, C∗-Algebras and von Neumann Algebras,

manuscript, in Hungarian, 2001.

Thesis Directed

1993: Nora Kontra: Riesz representation theorems. (in Hungarian)[MSc]

1995: Peter Battyanyi: Jordan *-derivations on operator algebras.(in Hungarian) [Competition work, distinguished national firstprize]

1996: Peter Battyanyi: Jordan *-derivations on operator algebras. (inHungarian) [MSc]

1996: Tibor Molnar: Calculus in the secondary school. (in Hungarian)[MSc]

1997: Csaba Noszaly: Isomorphisms of function algebras. (in Hun-garian) [MSc]

1997: Mate Gyory: Isometries of function algebras and semigroupisomorphisms of operator ideals. (in Hungarian) [Competitionwork, national first prize]

1998: Anna Nemeth: The three fundamental theorems of functionalanalysis. (in Hungarian) [MSc]

1998: Mate Gyory: Isometries of function algebras and semigroupisomorphisms of operator ideals. (in Hungarian) [MSc]

1998: Zsolt Vida: Derivations, Jordan *-derivations and automor-phisms. (in Hungarian) [MSc]

1999: Mate Gyory: Diameter preserving linear bijection of C0(X) andthe reflexivity of the isometry group of the suspension of B(H).(in Hungarian) [Competition work, national first prize; ‘Pro Sci-entia Medal’ of the Hungarian Academy of Sciences]

9

2001: Matyas Barczy and Mariann Toth: Local automorphisms ofthe sets of states and effects on a Hilbert space. (in Hungarian)[Competition work, national first prize]

2001: Mariann Toth: Local maps of operator algebras. (in Hungarian)[MSc]

2008: Emese Tunde Rozsalyi: The life and work of Frigyes Riesz (inHungarian) [MSc]

2010: Patrıcia Szokol: Classical and quantum relative entropy [MSc]2011: Patrıcia Szokol: Maps on positive semidefinite operators pre-

serving relative entropy. [Competition work, national specialprize]

PhD Students

– Mate Gyory; (1998–2001) ’Preserver problems and reflexivityproblems on operator algebras and on function algebras’, PhDDissertation, 2003.

– Gergo Nagy; (2008–2011) ’Preserver problems on structures ofpositive operators’, PhD Dissertation, 2013.

– Patrıcia Szokol; (2010–2013) ’Preserver problems and separa-tion theorems’, PhD Dissertation, 2015.

– Roberto Beneduci; (2013–2014) ’Mathematical structures ofpositive operator valued measures and applications’, PhD Dis-sertation, 2014.

Membership in PhD Committees

— Vilmos Prokaj, Eotvos Lorand University, Budapest, April 9,1999.

— Karoly Nagy, University of Debrecen, Debrecen, May 31, 2001.— Balint Farkas, Eotvos Lorand University, Budapest, May 26,

2004.— Zsolt Balogh, University of Debrecen, Debrecen, September 21,

2004.— Attila Hazy, University of Debrecen, Debrecen, October 7, 2005.— Zoltan Kaiser, University of Debrecen, Debrecen, January 27,

2006.— Fulop Agnes, Eotvos Lorand University, Budapest, May 5,

2006.— Tibor Juhasz, University of Debrecen, Debrecen, October 19,

2006.

10

— Peter Varga, University of Debrecen, Debrecen, December 21,2006.

— Agnes Baran, University of Debrecen, Debrecen, November 27,2007.

— Pal Burai, University of Debrecen, Debrecen, January 15, 2008.— Arpad Baricz, University of Debrecen, Debrecen, October 2,

2008.— Izabella Stuhl, University of Debrecen, Debrecen, March 5,

2009.— Endre Igloi, University of Debrecen, Debrecen, March 20, 2009.— Zoltan Leka, University of Szeged, Szeged, May 6, 2009.— Zita Mako, University of Debrecen, Debrecen, November 13,

2009.— Fruzsina Meszaros, University of Debrecen, Debrecen, March

17, 2010.— Andras Bazso, University of Debrecen, Debrecen, October 15,

2010.— Istvan Vajda, University of Debrecen, Debrecen, October 27,

2010.— Jozsef Korandi, University of Debrecen, Debrecen, June 12,

2012.— Agota Orosz-Kaiser, University of Debrecen, Debrecen, June

27, 2012.— Szabolcs Bajak, University of Debrecen, Debrecen, July 3, 2012.— Zsolt Szucs, Eotvos Lorand University, Budapest, 2014.— Andras Szanto, Budapest University of Technology and Eco-

nomics, Budapest, January 23, 2015.— Ferenc Varady, University of Debrecen, Debrecen, February 11,

2015.

Membership in Habilitation Committees

— Kalman Liptai, University of Debrecen, Debrecen, November 24,2011.

— Mihaly Bessenyei, University of Debrecen, Debrecen, November 25,2011.

— Istvan Blahota, University of Debrecen, Debrecen, October 16, 2013.— Pal Burai, University of Debrecen, Debrecen, November 20, 2014.— Gabor Pusztai, University of Szeged, Szeged, October 9, 2015.

Membership in DSc Committees

11

— Gabor Elek, Hungarian Academy of Sciences, Budapest, Janu-ary 28, 2010.

— Tamas Keleti, Hungarian Academy of Sciences, Budapest, De-cember 20, 2010.

— Alice Fialowski, Hungarian Academy of Sciences, Budapest, No-vember 14, 2011.

— Sandor Fridli, Hungarian Academy of Sciences, Budapest, May11, 2015.

— Mate Matolcsi, Hungarian Academy of Sciences, Budapest,June 23, 2015.

12

LIST OF PUBLICATIONS

Book

[MB] L. Molnar, Selected Preserver Problems on Algebraic Struc-tures of Linear Operators and on Function Spaces, LectureNotes in Mathematics, Vol. 1895, p. 236, Springer, 2007.MR 2007g:47056, Zbl. 1119.47001

Research papers

[1] L. Molnar, J. Pitrik and D. Virosztek, Maps on positive def-inite matrices preserving Bregman and Jensen divergences,preprint

[2] O. Hatori and L. Molnar, Generalized isometries of the spe-cial unitary group, preprint.

[3] O. Hatori and L. Molnar, Spectral conditions for Jordan*-isomorphisms on operator algebras, preprint.

[4] F. Botelho, L. Molnar and G. Nagy, Linear bijections onvon Neumann factors commuting with λ-Aluthge transform,submitted.

[5] L. Molnar and D. Virosztek, Continuous Jordan triple en-domorphisms of P2, submitted.

[6] L. Molnar and G. Nagy, Spectral order automorphisms onHilbert space effects and observables: the 2-dimensionalcase, submitted.

[7] L. Molnar and P. Szokol, Transformations preserving normsof means of positive operators and nonnegative functions,Integral Equations Operator Theory, to appear.

[8] L. Molnar Two characterizations of unitary-antiunitarysimilarity transformations of positive definite operators ona finite dimensional Hilbert space, Annales Univ. Sci. Bu-dapest., Sect. Comp. (special issue dedicated to Prof. ZoltanSebestyen on the occasion of his 70th birthday), to appear.

[9] L. Molnar, General Mazur-Ulam type theorems and someapplications, in Operator Semigroups Meet Complex Anal-ysis, Harmonic Analysis and Mathematical Physics, W.

13

Arendt, R. Chill, Y. Tomilov (Eds.), Operator Theory: Ad-vances and Applications, Vol. 250, to appear.

[10] L. Molnar and D. Virosztek, On algebraic endomorphismsof the Einstein gyrogroup, J. Math. Phys. 56 (2015), 082302.

[11] L. Molnar On the nonexistence of order isomorphisms be-tween the sets of all self-adjoint and all positive definiteoperators, Abstr. Appl. Anal. Volume 2015 (2015), ArticleID 434020, 6 pages.IF: 1,274**

[12] L. Molnar, P. Semrl and A.R. Sourour, Bilocal automor-phisms, Oper. Matrices 9 (2015), 113–120.IF: 0,529**

[13] L. Molnar and P. Szokol, Transformations on positive defi-nite matrices preserving generalized distance measures, Lin-ear Algebra Appl. 466 (2015), 141–159.IF: 0,983**

[14] L. Molnar, Jordan triple endomorphisms and isometries ofspaces of positive definite matrices, Linear Multilinear Alg.63 (2015), 12–33.IF: 0,700**

[15] L. Molnar and G. Nagy, Transformations on density oper-ators that leave the Holevo bound invariant, Int. J. Theor.Phys. 53 (2014), 3273–3278.IF: 1,188**

[16] R. Beneduci and L. Molnar, On the standard K-loop struc-ture of positive invertible elements in a C∗-algebra, J. Math.Anal. Appl. 420 (2014), 551–562.IF: 1,119**

[17] L. Molnar, A few conditions for a C∗-algebra to be commu-tative, Abstr. Appl. Anal. Volume 2014 (2014), Article ID705836, 4 pages.IF: 1,274**

[18] L. Molnar and P. Szokol, Kolmogorov-Smirnov isometries ofthe space of generalized distribution functions, Math. Slo-vaca 64 (2014), 433–444.IF: 0,451**

14

[19] L. Molnar, Bilocal *-automorphisms of B(H), Arch. Math.102 (2014), 83–89.IF: 0,479**

[20] O. Hatori and L. Molnar, Isometries of the unitary groupsand Thompson isometries of the spaces of invertible positiveelements in C∗-algebras, J. Math. Anal. Appl. 409 (2014),158–167.IF: 1,119**

[21] L. Molnar, Jordan triple endomorphisms and isometries ofunitary groups, Linear Algebra Appl. 439 (2013), 3518–3531.IF: 0,983

[22] F. Botelho, J. Jamison and L. Molnar, Surjective isometrieson Grassmann spaces, J. Funct. Anal. 265 (2013), 2226–2238.IF: 1,152

[23] F. Botelho, J. Jamison and L. Molnar, Algebraic reflexivityof isometry groups and automorphism groups of some oper-ator structures, J. Math. Anal. Appl. 408 (2013), 177–195.IF: 1,119

[24] L. Molnar, G. Nagy and P. Szokol, Maps on density opera-tors preserving quantum f -divergences, Quantum Inf. Pro-cess. 12 (2013), 2309–2323.IF: 2,960

[25] G. Dolinar and L. Molnar, Automorphisms for the logarith-mic product of positive semidefinite operators, Linear Mul-tilinear Algebra 61 (2013), 161–169.IF: 0,700

[26] O. Hatori, G. Hirasawa, T. Miura and L. Molnar, Isometriesand maps compatible with inverted Jordan triple products ongroups, Tokyo J. Math. 35 (2012), 385–410.IF: 0,258

[27] O. Hatori and L. Molnar, Isometries of the unitarygroup, Proc. Amer. Math. Soc. 140 (2012), 2141–2154.MR2888199, Zbl. 1244.47032IF: 0,609

[28] G. Dolinar and L. Molnar, Sequential endomorphisms offinite dimensional Hilbert space effect algebras, J. Phys.A: Math. Theor. 45 (2012) 065207. MR2881058, Zbl.

15

1235.81008IF: 1,766

[29] L. Molnar and P. Semrl, Transformations of the unitarygroup on a Hilbert space, J. Math. Anal. Appl. 388 (2012),1205–1217. MR2869819, Zbl. 06009629IF: 1,050

[30] L. Molnar and G. Nagy, Isometries and relative entropypreserving maps on density operators, Linear MultilinearAlgebra 60 (2012), 93–108. MR2869675, Zbl 1241.47034IF: 0,677

[31] L. Molnar, Maps preserving general means of positive op-erators, Electron. J. Linear Algebra 22 (2011), 864–874.MR2836790, Zbl. 06098828IF: 0,563

[32] L. Molnar, Continuous maps on matrices transforming geo-metric mean to arithmetic mean, Annales Univ. Sci. Bu-dapest., Sect. Comp. (special issue dedicated to Prof. AntalJarai on the occasion of his 60th birthday) 35 (2011), 217–222. MR?? Zbl. 1229.47055

[33] L. Molnar and W. Timmermann, Transformations onbounded observables preserving measure of compatibility,Int. J. Theor. Phys. 50 (2011), 3857–3863. MR2860043, Zbl.1243.81079IF: 0,845

[34] L. Molnar, Kolmogorov-Smirnov isometries and affine au-tomorphisms of spaces of distribution functions, Cent. Eur.J. Math. 9 (2011), 789–796. MR2805312, Zbl. 1239.46022IF: 0,440

[35] L. Molnar, Levy isometries of the space of probability distri-bution functions, J. Math. Anal. Appl. 380 (2011), 847–852.MR2794437, Zbl. 1229.46019IF: 1,001

[36] L. Molnar, Order automorphisms on positive definite op-erators and a few applications, Linear Algebra Appl. 434(2011), 2158–2169. MR2781684, Zbl. 1220.47051IF: 0,974

16

[37] L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl. 432 (2010), 3343–3350. MR 2011b:47087, Zbl. 1187.47030IF: 1,005

[38] L. Molnar and G. Nagy, Thompson isometries on positiveoperators: the 2-dimensional case, Electron. J. Lin. Alg. 20(2010), 79–89. MR2596446, Zbl. 1195.46017IF: 0,808

[39] L. Molnar, Linear maps on observables in von Neumannalgebras preserving the maximal deviation, J. London Math.Soc. 81 (2010), 161–174. MR 2010m:46100, Zbl. 1189.47036IF: 0,828

[40] L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859. MR 2010h:47058, Zbl. 1184.46021IF: 0,64

[41] L. Molnar, Maps preserving the harmonic mean or the par-allel sum of positive operators, Linear Algebra Appl. 430(2009), 3058–3065. MR 2010e:47077, Zbl. 1182.47035IF: 1,073

[42] L. Molnar, Maps on positive operators preserving Lebesguedecompositions, Electron. J. Linear Algebra 18 (2009), 222–232. MR 2010i:47079, Zbl. 1181.47040IF: 0,892

[43] L. Molnar and W. Timmermann, A metric on the spaceof projections admitting nice isometries, Studia Math. 191(2009), 271–281. MR 2009m:47097, Zbl. 1168.47030IF: 0,645

[44] L. Molnar, Maps preserving the geometric mean of positiveoperators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.MR 2009m:47096, Zbl. 1183.47032IF: 0,64

[45] L. Molnar and W. Timmermann, Maps on quantum statespreserving the Jensen-Shannon divergence, J. Phys. A:Math. Theor. 42 (2009), 015301. MR 2010f:81033, Zbl.1156.81349IF: 1,577

[46] L. Molnar, Linear maps on matrices preserving commuta-tivity up to a factor, Linear Multilinear Algebra 57 (2009),

17

13–18. MR 2010i:15003, Zbl. 1160.15004IF: 0,74

[47] G. Dolinar and L. Molnar, Isometries of the space of dis-tribution functions with respect to the Kolmogorov-Smirnovmetric, J. Math. Anal. Appl., 348 (2008), 494–498. MR2009j:47063, Zbl. 1162.46305IF: 1,046

[48] L. Molnar, Maps on the n-dimensional subspaces of aHilbert space preserving principal angles, Proc. Amer.Math. Soc. 136 (2008), 3205–3209. MR 2009f:47056, Zbl.1143.47025IF: 0,584

[49] L. Molnar, Maps on states preserving the relative entropy,J. Math. Phys. 49 (2008), 032114. MR 2009c:81025, Zbl.1153.81407IF: 1,085

[50] L. Molnar, Isometries of the spaces of bounded frame func-tions, J. Math. Anal. Appl. 338 (2008), 710–715. MR2009d:47038, Zbl. 1135.47034IF: 1,046

[51] G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007),159–166. MR 2008m:81008, Zbl. 1131.81010IF: 0,624

[52] L. Molnar and P. Semrl, Spectral order automorphisms ofthe spaces of Hilbert space effects and observables, Lett.Math. Phys. 80 (2007), 239–255. MR 2008f:47118, Zbl.1138.47057IF: 1,044

[53] L. Molnar and W. Timmermann, Mixture preserving mapson von Neumann algebra effects, Lett. Math. Phys. 79(2007), 295–302. MR 2008b:46084, Zbl. 1130.46037IF: 1,044

[54] L. Molnar and P. Semrl, Elementary operators on self-adjoint operators, J. Math. Anal. Appl. 327 (2007), 302–309. MR 2007g:47052, Zbl. 1117.47024IF: 0,872

18

[55] L. Molnar, Multiplicative Jordan triple isomorphisms on theself-adjoint elements of von Neumann algebras, Linear Al-gebra Appl. 419 (2006), 586–600. MR 2007k:47059, Zbl.1115.47034IF: 0,585

[56] L. Molnar, Non-linear Jordan triple automorphisms of setsof self-adjoint matrices and operators, Studia Math. 173(2006), 39–48. MR 2006j:47059, Zbl. 1236.47031IF: 0,515

[57] L. Molnar and W. Timmermann, Transformations on thesets of states and density operators, Linear Algebra Appl.418 (2006), 75–84. MR 2007g:81014, Zbl. 1113.47023IF: 0,585

[58] L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Her-mitian matrices, Proc. Amer. Math. Soc. 134 (2006) 2839–2848. MR 2007b:81018, Zbl. 1094.15010IF: 0,513

[59] L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math. 56(2005), 589–595. MR 2006m:47063, Zbl. 1211.47075IF: 0,868

[60] E. Kovacs and L. Molnar, Preserving some numerical corre-spondences between Hilbert space effects, Rep. Math. Phys.54 (2004), 201–209. MR 2005m:47077, Zbl. 1100.47032IF: 0,625

[MDiss] L. Molnar, Preserver Problems on Algebraic Structures ofLinear Operators and on Function Spaces, Dissertation forthe D.Sc. degree of the Hungarian Academy of Sciences, 241pages.

[61] L. Molnar, Sequential isomorphisms between the sets ofvon Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772. MR 2005d:46128, Zbl. 1049.46048

[62] L. Molnar and E. Kovacs, An extension of a characteriza-tion of the automorphisms of Hilbert space effect algebras,Rep. Math. Phys. 52 (2003), 141–149. MR 2004i:81015, Zbl.1052.81007IF: 0,489

19

[63] L. Molnar and M. Barczy, Linear maps on the space ofall bounded observables preserving maximal deviation, J.Funct. Anal. 205 (2003), 380–400. MR 2004j:47074, Zbl.1047.47029IF: 0,993

[64] L. Molnar, Preservers on Hilbert space effects, Linear Al-gebra Appl. 370 (2003), 287–300. MR 2004g:81022, Zbl.1040.47028IF: 0,656

[65] L. Molnar and W. Timmermann, Preserving the measureof compatibility between quantum states, J. Math. Phys. 44(2003), 969–973. MR 2004:81010, Zbl. 1061.81001IF: 1,481

[66] L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273. MR2004a:81046, Zbl. 1047.81017IF: 1,357

[67] L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874. MR 2003j:47050, Zbl. 1043.47030IF: 0,389

[68] L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319. MR 2003g:47067, Zbl. 1033.47026IF: 0,353

[69] L. Molnar, Orthogonality preserving transformations on in-definite inner product spaces: generalization of Uhlhorn’sversion of Wigner’s theorem, J. Funct. Anal., 194 (2002),248–262. MR 2003h:47069, Zbl. 1010.46023IF: 0,924

[70] F. Cabello Sanchez and L. Molnar, Reflexivity of the isom-etry group of some classical spaces, Rev. Mat. Iberoam. 18(2002), 409–430. MR 2003j:47046, Zbl. 1050.47028IF: 0,525

[71] L. Molnar, 2-local isometries of some operator alge-bras, Proc. Edinb. Math. Soc. 45 (2002), 349–352. MR2003e:47067, Zbl. 1027.46062IF: 0,386

20

[72] L. Molnar, Conditionally multiplicative maps on the set ofall bounded observables preserving compatibility, Linear Al-gebra Appl. 349 (2002), 197–201. MR 2003c:47070, Zbl.998.81002IF: 0,462

[73] L. Molnar, On certain automorphisms of sets of partialisometries, Arch. Math. 78 (2002), 43–50. MR 2002k:47078,Zbl. 1037.47025IF: 0,326

[74] L. Molnar, Some characterizations of the automorphisms ofB(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120. MR 2002m:47047, Zbl. 983.47024IF: 0,334

[75] L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z.Daroczy and Zs. Pales (eds.), Advances in Mathematics,vol 3., Kluwer Acad. Publ., Dordrecht, 2001, pp. 305–320.MR 2003e:47068, Zbl. 1004.46044

[76] L. Molnar, On some functional equations on operator al-gebras, in Hungarian, Assembly Lectures, May 2000, vol.II, Hungarian Academy of Sciences, Budapest, 2001, pp.457–464.

[77] L. Molnar, Local automorphisms of some quantum mechan-ical structures, Lett. Math. Phys. 58 (2001), 91–100. MR2002k:47077, Zbl. 1002.46044IF: 0,819

[78] L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303. MR 2003a:81081,Zbl. 1002.46044IF: 0,475

[79] L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909. MR2002m:81012, Zbl. 1019.81005IF: 1,151

[80] L. Molnar, *-semigroup endomorphisms of B(H), in I.Gohberg et al. (Edt.), Operator Theory: Advances andApplications, Vol. 127, pp. 465–472, Birkhauser, 2001.MR1902817, Zbl. 991.47019

21

[81] L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223(2001), 437–450. MR 2003a:81013, Zbl. 1029.81008IF: 1,729

[82] L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912. MR 2001m:47141, Zbl.1025.47045IF: 1,151

[83] L. Molnar, Transformations on the set of all n-dimensionalsubspaces of a Hilbert space preserving principal an-gles, Commun. Math. Phys. 217 (2001), 409–421. MR2002b:81008, Zbl. 1026.81006IF: 1,729

[84] L. Molnar, A reflexivity problem concerning the C∗-algebraC(X) ⊗ B(H), Proc. Amer. Math. Soc. 129 (2001), 531–537. MR 2001e:46101, Zbl. 959.47022IF: 0,369

[85] L. Molnar, A Wigner-type theorem on symmetry trans-formations in Banach spaces, Publ. Math. (Debrecen) 58(2000), 231–239. MR 2001j:47092, Zbl. 973.47058IF: 0,171

[86] M. Bresar, L. Molnar and P. Semrl, Elementary opera-tors II, Acta Sci. Math. (Szeged) 66 (2000), 769–791. MR2002h:47053, Zbl. 973.47028

[87] L. Molnar, On isomorphisms of standard operator algebras,Studia Math. 142 (2000), 295–302. MR 2001g:47124, Zbl.1049.47503IF: 0,477

[88] L. Molnar, A Wigner-type theorem on symmetry transfor-mations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466. MR 2001i:46098, Zbl. 1090.46510IF: 0,598

[89] L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45. MR2001g:81109, Zbl. 1072.81535IF: 0,966

22

[90] L. Molnar and P. Semrl, Local automorphisms of the unitarygroup and the general linear group on a Hilbert space, Expo.Math. 18 (2000), 231–238. MR 2001a:47083, Zbl. 963.46044

[91] L. Molnar, Generalization of Wigner’s unitary-antiunitarytheorem for indefinite inner product spaces, Commun.Math. Phys. 210 (2000), 785–791. MR 2001g:47064, Zbl.957.46106IF: 1,721

[92] L. Molnar, Reflexivity of the automorphism and isome-try groups of C∗-algebras in BDF theory, Arch. Math. 74(2000), 120–128. MR 2001k:47049, Zbl. 1023.47021IF: 0,305

[93] L. Molnar, Automatic surjectivity of ring homomorphismson H∗-algebras and algebraic differences among some groupalgebras of compact groups, Proc. Amer. Math. Soc. 128(2000), 125–134. MR 2000c:46103, Zbl. 945.46034IF: 0,394

[94] L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128(2000), 93–99. MR 2000f:43002, Zbl. 930.43002IF: 0,394

[95] L. Molnar, Multiplicative maps on ideals of operators whichare local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736. MR 2000k:47045, Zbl. 993.47031

[96] L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13. MR 2000h:47060, Zbl.974.47031IF: 0,385

[97] L. Molnar, A generalization of Wigner’s unitary-antiunitarytheorem to Hilbert modules, J. Math. Phys. 40 (1999), 5544–5554. MR 2000j:46112, Zbl. 953.46030IF: 0,976

[98] L. Molnar and B. Zalar, Reflexivity of the group of surjectiveisometries on some Banach spaces, Proc. Edinb. Math. Soc.42 (1999), 17–36. MR 2000b:47094, Zbl. 930.47015IF: 0,225

[99] L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999),

23

311-321. MR 2000b:47089, Zbl. 963.47028IF: 0,385

[100] L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369. MR 99k:46031, Zbl. 943.46033IF: 0,330

[101] L. Molnar and P. Semrl, Some linear preserver problems onupper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206. MR 99h:15003, Zbl. 974.15001

[102] V. Mascioni and L. Molnar, Linear maps on factors whichpreserve the extreme points of the unit ball, Canad. Math.Bull. 41 (1998), 434–441. MR 99m:46145, Zbl. 919.47024IF: 0,265

[103] L. Molnar, The automorphism and isometry groups of`∞(N,B(H)) are topologically reflexive, Acta Sci. Math.(Szeged) 64 (1998), 671–680. MR 99k:47083, Zbl. 937.47039

[104] L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J.Funct. Anal. 159 (1998), 568–586. MR 2000h:47110, Zbl.933.46064IF: 0,760

[105] M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310. MR99h:46098, Zbl. 928.46034IF: 0,216

[106] M. Gyory, L. Molnar and P. Semrl, Linear rank and corankpreserving maps on B(H) and an application to *-semigroupisomorphisms of operator ideals, Linear Algebra Appl. 280(1998), 253–266. MR 2000k:47044, Zbl. 940.46012IF: 0,392

[107] L. Molnar, Stability of the surjectivity of Jordan *-homomorphisms of B(H), J. Nat. Geom. 14 (1998), 149–154. MR 99g:46102, Zbl. 932.46040

[108] L. Molnar, Characterization of additive *-homomorphismsand Jordan *-homomorphisms on operator ideals, Aequa-tiones Math. 55 (1998), 259–272. MR: 99m:47042, Zbl.912.47017

24

[109] L. Molnar, A proper standard C∗-algebra whose automor-phism and isometry groups are topologically reflexive, Publ.Math. (Debrecen) 52 (1998), 563–574. MR 99e:46082, Zbl.918.46055IF: 0,098

[110] L. Molnar, Stability of the surjectivity of endomorphismsand isometries of B(H), Proc. Amer. Math. Soc. 126(1998), 853–861. MR 98e:47055, Zbl. 890.47022IF: 0,363

[111] L. Molnar and P. Semrl, Order isomorphisms and tripleisomorphisms of operator ideals and their reflexivity, Arch.Math. 69 (1997), 497–506. MR 99a:47054, Zbl. 910.47027IF: 0,281

[112] L. Molnar, Jordan *-derivation pairs on a complex*-algebra, Aequationes Math. 54 (1997), 44–55. MR98j:46053, Zbl. 887.16021

[113] L. Molnar and B. Zalar, Three-variable *-identities and ho-momorphisms of Schatten classes, Publ. Math. (Debrecen)50 (1997), 121–133. MR 98h:46054, Zbl. 880.46042IF: 0,089

[114] L. Molnar, The set of automorphisms of B(H) is topologi-cally reflexive in B(B(H)), Studia Math. 122 (1997), 183–193. MR 98e:47068, Zbl. 871.47030IF: 0,452

[115] L. Molnar and P. Semrl, Local Jordan *-derivations of stan-dard operator algebras, Proc. Amer. Math. Soc. 125 (1997),447–454. MR 97d:47038, Zbl. 861.47020IF: 0,273

[116] L. Molnar, On rings of differentiable functions, GrazerMath. Ber. 327 (1996), 13–16. MR 98e:46035, Zbl.887.46009

[117] L. Molnar, Bijectivity of *-endomorphisms of B(H) and theunilateral shift, Monatsh. Math. 122 (1996), 377–387. MR97m:47047, Zbl. 862.46032IF: 0,299

[118] C.J.K. Batty and L. Molnar, On topological reflexivity ofthe groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421. MR 97f:47034, Zbl.

25

866.47027IF: 0,170

[119] L. Molnar, The range of a Jordan *-derivation, Math.Japon. 44 (1996), 353–356. MR 97m:47046, Zbl. 886.47019

[120] L. Molnar, The range of a Jordan *-derivation on anH∗-algebra, Acta Math. Hung. 72 (1996), 261–267. MR98g:46078, Zbl. 902.46027IF: 0,139

[121] L. Molnar, Wigner’s unitary-antiunitary theorem via Her-stein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148. MR 97i:46038, Zbl. 858.46019

[122] L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53(1996), 391–400. MR 97c:47042, Zbl. 879.46030IF: 0,163

[123] L. Molnar, The range of a ring homomorphism from a com-mutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794. MR 96h:46090, Zbl. 857.46032IF: 0,300

[124] L. Molnar, Locally inner derivations of standard operatoralgebras, Math. Bohem. 121 (1996), 1–7. MR 97i:47069,Zbl. 863.46039

[125] L. Molnar, Algebraic difference between p-classes of an H*-algebra, Proc. Amer. Math. Soc. 124 (1996), 169-175. MR96d:46072, Zbl. 840.46035IF: 0,300

[126] L. Molnar, A condition for a subspace of B(H) to bean ideal, Linear Algebra Appl. 235 (1996), 229–234. MR96m:47092, Zbl. 852.46021IF: 0,341

[127] L. Molnar and B. Zalar, On automatic surjectivity of Jordanhomomorphisms, Acta Sci. Math. (Szeged) 61 (1995), 413–424. MR 97a:46097, Zbl. 842.46046

[128] L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95. MR 96a:46102, Zbl. 860.46037IF: 0,101

26

[129] L. Molnar, Conditions for a function to be a centralizer onan H*-algebra, Acta Math. Hung. 67 (1995), 171–174. MR96b:46074, Zbl. 888.46037IF: 0,145

[130] L. Molnar, On the range of a normal Jordan *-derivation,Comment. Math. Univ. Carolinae 35 (1994), 691–695. MR95k:47054, Zbl. 821.47028

[131] L. Molnar, A condition for a function to be a bounded linearoperator, Indian J. Math. 35 (1993), 1–4. MR 94k:47061,Zbl. 811.47032

[132] L. Molnar, p-classes of an H*-algebra and their represen-tations, Acta Sci. Math. (Szeged) 58 (1993), 411–423. MR95c:46081, Zbl. 811.46056

[133] L. Molnar, On A-linear operators on a Hilbert A-module,Period. Math. Hung. 26 (1993), 219–222. MR 94i:46062,Zbl. 816.46042

[134] L. Molnar, On Saworotnow’s Hilbert A-modules, GlasnikMat. 28 (1993), 259–267. MR 95m:46076, Zbl. 818.46056

[135] L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656. MR 93i:46095, Zbl. 809.46039IF: 0,132

[136] L. Molnar, ∗-representations of the trace-class of an H∗-algebra, Proc. Amer. Math. Soc. 115 (1992), 167–170. MR92i:46064, Zbl. 789.46044IF: 0,263

[137] L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325. MR 93i:46094, Zbl. 804.46056IF: 0,038

[138] L. Molnar, A note on Saworotnow’s representation theoremon positive definite functions, Houston J. Math. 17 (1991),89–99. MR 92j:46097, Zbl. 780.46035IF: 0,198

[139] L. Molnar, Reproducing kernel Hilbert A-modules, GlasnikMat. 25 (1990), 335–345. MR 94k:46103, Zbl. 773.46026

27

[140] Y. Kakihara and L. Molnar, A remark on HS operator val-ued c.a.g.o.s. measures, Res. Act. Fac. Sci. Engrg. TokyoDenki Univ. 12 (1990), 13–19. MR 91h:46082

[141] L. Molnar, Two applications of the theory of weakly station-ary stochastic processes to harmonic analysis, Glasnik Mat.25 (1990), 209–219. MR 92h:60055, Zbl. 825.60027

28

LIST OF INDEPENDENT CITATIONS

(without self- or co-authors’ citations)

ordered according to the cited work

[1] L. Molnar, Reproducing kernel Hilbert A-modules, Glasnik Mat.25 (1990), 335–345.I (1) B. Zalar, Theory of Hilbert triple systems, YokohamaMath. J. 41 (1994), 94–126.I (2) B. Zalar, Jordan - von Neumann theorem for Saworotnow’sgeneralized Hilbert space, Acta Math. Hung. 69 (1995), 301–325.I (3) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[2] L. Molnar, A note on Saworotnow’s representation theorem onpositive definite functions, Houston J. Math. 17 (1991), 89–99.I (4) B. Zalar, Theory of Hilbert triple systems, YokohamaMath. J. 41 (1994), 94–126.I (5) B. Zalar, Jordan - von Neumann theorem for Saworotnow’sgeneralized Hilbert space, Acta Math. Hung. 69 (1995), 301–325.I (6) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[3] L. Molnar, A note on the strong Schwarz inequality in HilbertA-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.I (7) S. Banic, D. Ilisevic and S. Varosanec, Bessel and Grusstype inequalities in inner product modules, Proc. EdinburghMath. Soc. 50 (2007), 23–36.I (8) A.G. Ghazanfari and S.S. Dragomir Bessel and Gruss typeinequalities in inner product modules over Banach *-algebras,J. Inequal. Appl. Volume 2011, Article ID 562923, 16 pages.I (9) D. Ilisevic, Molnar-dependence in a pre-Hilbert moduleover an H∗-algebra, Acta Math. Hungar. 101 (2003), 69–78.I (10) D. Ilisevic and S. Varosanec, Gruss type inequalities ininner product modules, Proc. Amer. Math. Soc. 133 (2005),3271–3280.I (11) T.W. Palmer, Banach Algebras and the General Theoryof *-Algebras, vol. II., Cambridge University Press, 2001.I (12) B. Zalar, Jordan - von Neumann theorem for Saworot-now’s generalized Hilbert space, Acta Math. Hung. 69 (1995),301–325.

29

I (13) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[4] L. Molnar, ∗-representations of the trace-class of an H∗-algebra,Proc. Amer. Math. Soc. 115 (1992), 167–170.I (14) T.W. Palmer, Banach Algebras and the General Theoryof *-Algebras, vol. II., Cambridge University Press, 2001.I (15) B. Zalar, Theory of Hilbert triple systems, YokohamaMath. J. 41 (1994), 94–126.I (16) B. Zalar, Jordan - von Neumann theorem for Saworot-now’s generalized Hilbert space, Acta Math. Hung. 69 (1995),301–325.

[5] L. Molnar, Modular bases in a Hilbert A-module, Czech. Math.J. 42 (1992), 649–656.I (17) D. Bakic and B. Guljas, Operators on Hilbert H∗-modules,J. Operator Theory 46 (2001), 123–141.I (18) D. Bakic and B. Guljas, Hilbert C∗-modules over C∗-algebras of compact operators, Acta Sci. Math. (Szeged) 68(2002), 249–269.I (19) T.W. Palmer, Banach Algebras and the General Theoryof *-Algebras, vol. II., Cambridge University Press, 2001.I (20) B. Zalar, Jordan - von Neumann theorem for Saworot-now’s generalized Hilbert space, Acta Math. Hung. 69 (1995),301–325.I (21) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[6] L. Molnar, On Saworotnow’s Hilbert A-modules, Glasnik Mat.28 (1993), 259–267.I (22) B. Zalar, Jordan - von Neumann theorem for Saworot-now’s generalized Hilbert space, Acta Math. Hung. 69 (1995),301–325.I (23) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[7] L. Molnar, On A-linear operators on a Hilbert A-module, Pe-riod. Math. Hung. 26 (1993), 219–222.I (24) B. Zalar, Jordan - von Neumann theorem for Saworot-now’s generalized Hilbert space, Acta Math. Hung. 69 (1995),301–325.

30

I (25) B. Zalar, Connections between Hilbert triple systems andinvolutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.

[8] L. Molnar, p-classes of an H*-algebra and their representations,Acta Sci. Math. (Szeged) 58 (1993), 411–423.I (26) B. Zalar, Theory of Hilbert triple systems, YokohamaMath. J. 41 (1994), 94–126.

[9] L. Molnar, On the range of a normal Jordan *-derivation, Com-ment. Math. Univ. Carolinae 35 (1994), 691–695.I (27) P. Battyanyi, On the range of a Jordan *-derivation,Comment. Math. Univ. Carolinae 37 (1996), 659–665.I (28) P. Battyanyi, Jordan *-derivations with respect to theJordan-product, Publ. Math. (Debrecen) 48 (1996), 327–338.I (29) M.A. Chebotar, Y. Fong and P.H. Lee, On maps preserv-ing zeros of the polynomial xy−yx∗, Linear Algebra Appl. 408(2005), 230–243.I (30) J. Cui and C. Park, Maps preserving strong skew Lieproduct on factor Von Neumann algebras, Acta Math. Sci. (Ser.B Engl. Ed.) 32 (2012), 531–538.I (31) A. Taghavi, When is a subspace of B(X ) ideal?, SoutheastAsian Bull. Math. 26 (2002), 153–158.

[10] L. Molnar, Conditions for a function to be a centralizer on anH*-algebra, Acta Math. Hung. 67 (1995), 171–174.I (32) B. Zalar, Theory of Hilbert triple systems, YokohamaMath. J. 41 (1994), 94–126.

[11] L. Molnar, On centralizers of an H*-algebra, Publ. Math. (De-brecen) 46 (1995), 89–95.I (33) S. Ali and N.A. Dar, On left centralizers of prime ringswith involution, Palestine Journal of Mathematics 3 (2014),505–511.I (34) S. Ali and C. Haetinger, On Jordan α-centralizers in ringsand some applications, Bol. Soc. Paran. Mat. 26 (2008), 71–80.I (35) M. Ashraf and S. Ali, On (α, β)∗-derivations in H∗-algebras, Adv. Algebra 2 (2009), 23–31.I (36) M. Ashraf and M.R. Mozumder, On Jordan α∗-centralizers in semiprime rings with involution, Int. J. Con-temp. Math. Sciences 7 (2012), 1103–1112.I (37) M. Ashraf, N. Rehman, S. Ali and M.R. Mozumder, Ongeneralized (θ, φ)-derivations in semiprime rings with involu-tion, Math. Slovaca 62 (2012), 451–460.I (38) M.J. Atteya, On generalized derivations of semiprimerings, Int. J. Algebra 4 (2010), 591–598.

31

I (39) M.J. Atteya, A note on generalized Jordan derivations insemiprime rings, Mathematics and Statistics 3 (2015), 7–9.I (40) M.J. Atteya and D.I. Resan, Commuting derivations ofsemiprime rings, Int. J. Contemp. Math. Sciences 6 (2011),1151–1158.I (41) D. Benkovic and D. Eremita, Characterizing left central-izers by their action on a polynomial, Publ. Math. (Debrecen)64 (2004), 343–351.I (42) M.N. Daif and M.S. Tammam El-Sayiad, An identity re-lated to generalized derivations, Internat. J. Algebra 1 (2007),547–550.I (43) M.N. Daif and M.S. Tammam El-Sayiad, On generalizedderivations of semiprime rings with involution, Internat. J. Al-gebra 1 (2007), 551–555.I (44) A.K. Faraj and A.H. Majeed, On Left σ-centralizers ofJordan ideals and generalized Jordan left (σ, τ)-derivations ofprime rings, Eng. and Tech. Journal 29 (2011), 544–553.I (45) A. Fosner and N. Persin, On certain functional equationrelated to two-sided centralizers, Aeq. Math. 85 (2013), 329–346.I (46) A. Fosner and J. Vukman, Some functional equations onstandard operator algebras, Acta Math. Hung. 118 (2008), 299–306.I (47) M. Fosner and J. Vukman, An equation related to two-sided centralizers in prime rings, Rocky Mountain J. Math. 41(2011), 765–776.I (48) O. Golbasi and E. Koc, Notes on Jordan (σ, τ)∗-derivations and Jordan triple (σ, τ)∗-derivations, Aeq. Math.Aeq. Math. 85 (2013), 581–591.I (49) M. Hongan, N.U. Rehman and R.M. Al-Omary On LieIdeals and Jordan triple derivations in rings, Rend. Sem. Mat.Univ. Padova 125 (2011), 147–156.I (50) I. Kosi-Ulbl and J. Vukman, An identity related to deriva-tions of standard operator algebras and semisimple H∗-algebras,CUBO A Math. J. 12 (2010), 95–102.I (51) X.F. Qi, Characterization of centralizers on rings andoperator algebras, Acta Math. Sin. 56 (2013), 459–468.I (52) X.F. Qi, S.P. Du and J.C. Hou, Two kinds of additivemaps on operator algebras, J. Shanxi Normal Univ. Nat. Sci.Ed. 20 (2006), 1–3.I (53) X. Qi, S. Du and J. Hou, Characterization of centralizers,Acta Math. Sin., Chin. Ser. 51 (2008), 509–516.I (54) X. Qi and J. Hou, Characterizing centralizers and gener-alized derivations on triangular algebras by acting on zero prod-uct, Acta Math. Sin., Eng. Ser. 29 (2013), 1245–1256.

32

I (55) N. ur Rehman, Jordan triple (α, β)∗-derivations onsemiprime rings with involution, Hacettepe J. Math. Stat. 42(2013), 641–651.I (56) N. Sirovnik and J. Vukman, A result concerning two-sided centralizers on algebras with involution, Oper. Matrices7 (2013), 687–693.I (57) N. Sirovnik and J. Vukman, On derivations of operatoralgebras with involution, Demonstr. Math. 47 (2014), 784–790.I (58) Z. Ullah and M.A. Chaudhry, θ-centralizers of rings withinvolution, Int. J. Algebra 4 (2010), 843–850.I (59) J. Vukman, An equation on operator algebras andsemisimple H∗-algebras, Glasnik Math. 40 (2005), 201–206.I (60) J. Vukman, On derivations of algebras with involution,Acta Math. Hung. 112 (2006), 181–186.I (61) J. Vukman, On derivations of standard operator alge-bras and semisimple H∗-algebras, Studia Sci. Math. Hungar.44 (2007), 57–63.I (62) J. Vukman, Identities related to derivations and central-izers on standard operator algebras, Taiwanese J. Math. 11(2007), 255–265.I (63) J. Vukman, A note on generalized derivations ofsemiprime rings, Taiwanese J. Math. 11 (2007), 367–370.I (64) J. Vukman, On (m,n)-Jordan centralizers in rings andalgebras, Glasnik Math. 45 (2010), 43–53.I (65) J. Vukman, Some remarks on derivations in semiprimerings and standard operator algebras, Glasnik Math. 46 (2011),43–48.I (66) J. Vukman and M. Fosner, A characterization of two-sided centralizers on prime rings, Taiwanese J. Math. 11 (2007),1431–1441.I (67) J. Vukman and I. Kosi-Ulbl, Centralisers on rings andalgebras, Bull. Austral. Math. Soc. 71 (2005), 225–234.I (68) J. Vukman and I. Kosi-Ulbl, A remark on a paper of L.Molnar, Publ. Math. (Debrecen) 67 (2005), 419–421.I (69) J. Vukman and I. Kosi-Ulbl, On centralizers of stan-dard operator algebras and semisimple H∗-algebras, Acta Math.Hung. 110 (2006), 217–223.I (70) J. Vukman and I. Kosi-Ulbl, On centralizers of semiprimerings with involution, Studia Sci. Math. Hung. 43 (2006), 61–67.I (71) J. Vukman and I. Kosi-Ulbl, On centralizers of semisimpleH∗-algebras, Taiwanese J. Math. 11 (2007), 1063–1074.I (72) J. Vukman and I. Kosi-Ulbl, On two-sided centralizers ofrings and algebras, CUBO A Math. J. 10 (2008), 211-222.

33

I (73) J. Vukman, I. Kosi-Ulbl and D. Eremita, On certain equa-tions in rings, Bull. Austral. Math. Soc. 71 (2005), 53–60.

[12] L. Molnar and B. Zalar, On automatic surjectivity of Jordanhomomorphisms, Acta Sci. Math. (Szeged) 61 (1995), 413–424.I (74) F. Botelho and J. Jamison, Algebraic and topological re-flexivity properties of lp(X) spaces, J. Math. Anal. Appl., 346(2008), 141-144.

[13] L. Molnar, A condition for a subspace of B(H) to be an ideal,Linear Algebra Appl. 235 (1996), 229–234.I (75) R.L. An and. J.C. Hou, A characterization of *-automorphism on B(H), Acta Math. Sin. 26 (2010), 287–294.I (76) Z. Bai and S. Du, Maps preserving products XY − Y X∗on von Neumann algebras, J. Math. Anal. Appl. 386 (2012),103–109.I (77) P. Battyanyi, On the range of a Jordan *-derivation,Comment. Math. Univ. Carolinae 37 (1996), 659–665.I (78) P. Battyanyi, Jordan *-derivations with respect to theJordan-product, Publ. Math. (Debrecen) 48 (1996), 327–338.I (79) M. Bresar and M. Fosner, On rings with involutionequipped with some new product, Publ. Math. (Debrecen) 57(2000), 121–134.I (80) M.A. Chebotar, Y. Fong and P.H. Lee, On maps preserv-ing zeros of the polynomial xy−yx∗, Linear Algebra Appl. 408(2005), 230–243.I (81) J. Cui and C.K. Li, Maps preserving product XY − Y X∗on factor von Neumann algebras, Linear Algebra Appl. 431(2009), 833–842.I (82) J. Cui, Q. Li, J. Hou and X. Qi, Some unitary similarityinvariant sets preservers of skew Lie products, Linear AlgebraAppl. 457 (2014), 76–92.I (83) J. Cui and C. Park, Maps preserving strong skew Lieproduct on factor Von Neumann algebras, Acta Math. Sci. (Ser.B Engl. Ed.) 32 (2012), 531–538.I (84) L. Dai and F. Lu, Nonlinear maps preserving Jordan *-products, J. Math. Anal. Appl. 409 (2014), 180–188.I (85) M. Fosner, Prime rings with involution equipped withsome new product, Southeast Asian Bull. Math. 26 (2002), 27–31.I (86) L. Gong, X. Qi, J. Shao and F. Zhang, Strong (skew) ξ-Liecommutativity preserving maps on algebras, Cogent Mathemat-ics (2015), 2: 1003175.

34

I (87) D. Huo, B. Zheng, J. Xua and H. Liu, Nonlinear mappingspreserving Jordan multiple ∗? product on factor von Neumannalgebras, Linear Multilinear Alg. 63 (2015), 1026–1036.I (88) C. Li, F. Lu and X. Fang, Nonlinear mappings preservingproduct XY + Y X∗ on factor von Neumann algebras, LinearAlgebra Appl. 438 (2013) 2339-2345.I (89) C. Li, F. Lu and X. Fang, Non-linear ξ-Jordan *-derivations on von Neumann algebras, Linear Multilinear Alg.62 (2014), 466–473.I (90) X. Qi and J. Hou, Strong skew commutativity preserv-ing maps on von Neumann algebras, J. Math. Anal. Appl. 397(2012), 362–370.I (91) A. Taghavi, When is a subspace of B(X ) ideal?, SoutheastAsian Bull. Math. 26 (2002), 153–158.I (92) A. Taghavi, V. Darvish, H. Rohi, Additivity of maps pre-serving products AP ± PA∗ on C∗-algebras, Math. Slovaca, toappear.I (93) A. Taghavi, H. Rohi and V. Darvish, Non-linear *-Jordanderivations on von Neumann algebras, Linear Multilinear Alg.,to appear.

[14] L. Molnar, Locally inner derivations of standard operator alge-bras, Math. Bohem. 121 (1996), 1–7.I (94) M. Bresar, Characterizing homomorphisms, derivationsand multipliers in rings with idempotents, Proc. Royal Soc. Ed-inburgh 137 (2007), 9–21.I (95) A. Fosner and M. Fosner, On superderivations and localsuperderivations, Taiwanese J. Math. 11 (2007), 1383–1396.I (96) A. Fosner and M. Fosner, On ε-derivations and local ε-derivations, Acta Math. Sin. 26 (2010), 1555-1566.

[15] L. Molnar, The range of a ring homomorphism from a commu-tative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996), 1789–1794.I (97) O. Hatori, T. Ishii, T. Miura and S. Takahasi, Charac-terizations and automatic linearity for ring homomorphisms onalgebras of functions, in Function Spaces, K. Jarosz, Edt. Con-temporary Mathematics vol. 328, American Mathematical So-ciety, 2003, pp. 201–215.I (98) T. Miura, A representation of ring homomorphisms oncommutative Banach algebras, Scient. Math. Japon. 53 (2001),515–523.I (99) T. Miura, A representation of ring homomorphisms onunital regular commutative Banach algebras, Math. J. OkoyamaUniv. 44 (2002), 143–153.

35

I (100) T. Miura and S. Takahasi, Ring homomorphisms on realBanach algebras, Int. J. Math. Math. Sci. 48 (2003), 3025–3030.I (101) T. Miura, S.E. Takahasi and N. Niwa Prime ideals andcomplex ring homomorphisms on a commutative algebra, Publ.Math. (Debrecen) 70 (2006), 453–460.I (102) T. Miura, S.E. Takahasi and N. Niwa Ring homo-morphisms on commutative regular Banach algebras, NihonkaiMath. J. 19 (2008), 61–74.I (103) T. Miura, S.E. Takahasi, N. Niwa and H. Oka, On sur-jective ring homomorphisms between semi-simple commutativeBanach algebras, Publ. Math. (Debrecen), 73 (2008), 119–131.I (104) K. Seddighi and Y. Taghavi, Mappings on spaces of con-tinuous functions, Southeast Asian Bull. Math. 24 (2000), 287–295.I (105) S.E. Takahasi and O. Hatori, A structure of ring ho-momorphisms on commutative Banach algebras, Proc. Amer.Math. Soc. 127 (1999), 2283–2288.

[16] L. Molnar, Two characterizations of additive *-automorphismsof B(H), Bull. Austral. Math. Soc. 53 (1996), 391–400.I (106) Z. Bai and J. Hou The additive maps on operator alge-bras, J. Shanxi Teacher’s Univ. Nat. Sci. Ed. 15 (2001), 1–6.I (107) Z. Bai and J. Hou, Linear maps and additive maps thatpreserve operators annihilated by a polynomial, J. Math. Anal.Appl. 271 (2002), 139–154.I (108) Z. Bai and J. Hou, Additive maps preserving orthogonal-ity or commuting with |.|k, Acta Mathematica Sinica 45 (2002),863–870.I (109) M. Burgos, J.J. Garces and A.M. Peralta, Automaticcontinuity of biorthogonality preservers between compact C∗-algebras and von Neumann algebras, J. Math. Anal. Appl. 376(2011), 221–230.I (110) J. Cui and J. Hou, Linear maps preserving indefiniteorthogonality on C∗-algebras, Chinese Ann. Math., Ser. A 25(2004), 437–444.I (111) J. Cui and J. Hou, Linear maps preserving elements an-nihilated by a polynomial XY −Y X†, Studia Math. 174 (2006),183–199.I (112) J. Cui, J. Hou and C-G. Park, Indefinite orthogonalitypreserving additive maps, Arch. Math. 83 (2004), 548–557.I (113) M. Radjabalipour, Additive mappings on von Neumannalgebras preserving absolute values, Linear Algebra Appl. 368(2003), 229–241.

36

I (114) M. Radjabalipour, K. Seddighi and Y. Taghavi, Addi-tive mappings on operator algebras preserving absolute values,Linear Algebra Appl. 327 (2001), 197–206.I (115) M. Radjabalipour and Y. Taghavi, Characterisationsof *-homomorphisms of B(H) into B(K), Proceedings of the31st Iranian Mathematics Conference (Tehran, 2000), 275–281,Univ. Tehran, Tehran, 2000.I (116) A. Taghavi, Additive mappings on operator algebras pre-serving square absolute values, Honam Math. J. 23 (2001), 51–57.I (117) A. Taghavi, Additive mappings on C∗-algebras preservingabsolute values, Linear Multilinear Algebra 60 (2012), 33-38.I (118) A. Taghavi, Additive mappings on C∗-algebras sub-preserving absolute values of products, Journal of Inequalitiesand Applications 2012, Article ID 161, 6 p., electronic only(2012).I (119) A. Turnsek, On operators preserving James’ orthogonal-ity, Linear Algebra Appl. 407 (2005), 189–195.I (120) J. Wu, Additive mappings preserving zero products, ActaMath. Sinica 42 (1999), 1125–1128.I (121) F.J. Zhang and G.X. Ji, Additive maps preserving or-thogonality on B(H), J. Shaanxi Normal Univ. Nat. Sci. Ed.33 (2005), 21–25.

[17] L. Molnar, Wigner’s unitary-antiunitary theorem via Herstein’stheorem on Jordan homomorphisms, J. Nat. Geom. 10 (1996),137–148.I (122) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (123) C. Dryzun and D. Avnir, Chirality measures for vectors,matrices, operators and functions, ChemPhysChem 12 (2011),197–205.I (124) Gy.P. Geher, An elementary proof for the non-bijectiveversion of Wigner?s theorem, Phys. Lett. A 378 (2014), 2054–2057.I (125) Gy.P. Geher, Maps on real Hilbert spaces preserving thearea of parallelograms and a preserver problem on self-adjointoperators, J. Math. Anal. Appl. 422 (2015), 1402–1413.I (126) M. Gyory, A new proof of Wigner’s theorem, Rep. Math.Phys. 54 (2004), 159–167.I (127) J. Hamhalter, Quantum Measure Theory, Kluwer Aca-demic Publishers, Dordrecht, Boston, London, 2003.

37

I (128) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (129) R. Simon, N. Mukunda, S. Chaturvedi and V. SrinivasanTwo elementary proofs of the Wigner theorem on symmetry inquantum mechanics, Phys. Lett. A 372 (2008), 6847–6852.

[18] L. Molnar, The range of a Jordan *-derivation on an H∗-algebra, Acta Math. Hung. 72 (1996), 261–267.I (130) P. Battyanyi, On the range of a Jordan *-derivation,Comment. Math. Univ. Carolinae 37 (1996), 659–665.I (131) T.W. Palmer, Banach Algebras and the General Theoryof *-Algebras, vol. II., Cambridge University Press, 2001.

[19] L. Molnar, The range of a Jordan *-derivation, Math. Japon.44 (1996), 353–356.I (132) P. Battyanyi, On the range of a Jordan *-derivation,Comment. Math. Univ. Carolinae 37 (1996), 659–665.I (133) P. Battyanyi, Jordan *-derivations with respect to theJordan-product, Publ. Math. (Debrecen) 48 (1996), 327–338.I (134) M.A. Chebotar, Y. Fong and P.H. Lee, On maps pre-serving zeros of the polynomial xy− yx∗, Linear Algebra Appl.408 (2005), 230–243.I (135) A. Taghavi, When is a subspace of B(X ) ideal?, South-east Asian Bull. Math. 26 (2002), 153–158.

[20] C.J.K. Batty and L. Molnar, On topological reflexivity of thegroups of *-automorphisms and surjective isometries of B(H),Arch. Math. 67 (1996), 415–421.I (136) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (137) A. Ben Ali Essaleh, A.M. Peralta, M.I. Ramırez, Weak-local derivations and homomorphisms on C*-algebras, LinearMultilinear Alg., to appear.I (138) F. Botelho and J. Jamison, Algebraic and topological re-flexivity of spaces of Lipschitz functions, Rev. Roumaine Math.Pures Appl. 56 (2011), 105-114.I (139) M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Per-alta, 2-local triple homomorphisms on von Neumann algebrasand JBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (140) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (141) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.

38

I (142) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.I (143) D. Hadwin and J.K. Li, Local derivations and local au-tomorphisms, J. Math. Anal. Appl. 290 (2004), 702–714.I (144) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.I (145) W. Jing and S.J. Lu, Topological reflexivity of the spacesof (α, β)-derivations on operator algebras, Studia Math. 156(2003), 121–131.I (146) W. Jing, S. Lu and G. Han, On topological reflexivity ofthe spaces of derivations on operator algebras, Appl. Math. J.Chinese Univ. Ser. A 17 (2002), 75–79.I (147) S.O. Kim and J.S. Kim, Local automorphisms andderivations on certain C∗-algebras, Proc. Amer. Math. Soc. 133(2005), 3303-3307.I (148) A.M. Peralta, A note on 2-local representations of C∗-algebras, Operators and Matrices, to appear.

[21] L. Molnar, On rings of differentiable functions, Grazer Math.Ber. 327 (1996), 13–16.I (149) J. Araujo, Linear biseparating maps between spaces ofvector-valued differentiable functions and automatic continuity,Adv. Math. 187 (2004), 488-520.

[22] L. Molnar and P. Semrl, Local Jordan *-derivations of standardoperator algebras, Proc. Amer. Math. Soc. 125 (1997), 447–454.I (150) J. Zhu and C. Xiong, Generalized derivable maps at zeropoint on some reflexive operator algebras, Linear Algebra Appl.397 (2005), 367–379.I (151) J. Zhu and C. Xiong, Characterization of generalizedJordan *-left derivations on real nest algebras, Linear AlgebraAppl. 404 (2005), 325–344.I (152) J. Zhu and C. Xiong, Generalized Jordan *-left deriva-tions on real nest algebras, Acta Math. Sinica 48 (2005), 299–310.

[23] L. Molnar, The set of automorphisms of B(H) is topologicallyreflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (153) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (154) F. Botelho and J. Jamison, Algebraic and topological re-flexivity of spaces of Lipschitz functions, Rev. Roumaine Math.Pures Appl. 56 (2011), 105-114.

39

I (155) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (156) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.I (157) M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (158) R.J. Fleming and J.E. Jamison, Isometries on Banachspaces: Vector-valued function spaces. Vol. 2. Chapman &Hall/CRC Monographs and Surveys in Pure and Applied Math-ematics 138, Boca Raton, 2007.I (159) M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (160) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.I (161) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.I (162) P. Ji and J. Yu, Maps on AF C∗-algebras, J. Math.(Wuhan) 26 (2006), 53–57.I (163) A. Jimenez-Vargas, A.M. Campoy and M. Villegas-Vallecillos, Algebraic reflexivity of the isometry group of somespaces of Lipschitz functions, J. Math. Anal. Appl. 366 (2010),195–201.I (164) W. Jing and S.J. Lu, Topological reflexivity of the spacesof (α, β)-derivations on operator algebras, Studia Math. 156(2003), 121–131.I (165) W. Jing, S. Lu and G. Han, On topological reflexivity ofthe spaces of derivations on operator algebras, Appl. Math. J.Chinese Univ. Ser. A 17 (2002), 75–79.I (166) S.O. Kim, Automorphisms of Hilbert space effect alge-bras, Linear Algebra Appl. 402 (2005), 193–198.I (167) Q. Meng, Z. Xu, Automorphisms and local automor-phisms of positive cones, J. Qufu Norm. Univ. Nat. Sci. Ed.1 (2010), 41–43.I (168) F.F. Pan, The characterization of the local linear map-pings on the subalgebra of matrix algebra M3(C), J. Xi’an Univ.Post and Telecomm., 11 (2006), 121–124.I (169) T.S.S.R.K. Rao, Some generalizations of Kadison’s the-orem: A survey, Extracta Math. 19 (2004), 319–334.I (170) T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc.Amer. Math. Soc. 133 (2005), 2729-2732.

40

I (171) J.H. Zhang, S. Feng and R.H. Wu, Local 2-cocycles ofnest subalgebras of factor von Neumann algebras, Linear Alge-bra Appl. 416 (2006), 908-916.I (172) J.H. Zhang, G.X. Ji and H.X. Cao, Local derivationsof nest subalgebras of von Neumann algebras, Linear AlgebraAppl. 392 (2004), 61–69.I (173) J.H. Zhang, A.L. Yang and F.F. Pan, Local automor-phisms on nest subalgebras of factor von Neumann algebras,Linear Algebra Appl. 402 (2005), 335–344.

[24] L. Molnar and B. Zalar, Three-variable *-identities and ho-momorphisms of Schatten classes, Publ. Math. (Debrecen) 50(1997), 121–133.I (174) W. Timmermann, Remarks on automorphism andderivation pairs in ternary rings of unbounded operators, Arch.Math. 74 (2000), 379–384.

[25] L. Molnar, Jordan *-derivation pairs on a complex *-algebra,Aequationes Math. 54 (1997), 44–55.I (175) D. Bakic and B. Guljas, Wigner’s theorem in a class ofHilbert C∗-modules, J. Math. Phys. 44 (2003), 2186–2191.I (176) P. Battyanyi, On the range of a Jordan *-derivation,Comment. Math. Univ. Carolinae 37 (1996), 659–665.I (177) P. Battyanyi, Jordan *-derivations with respect to theJordan-product, Publ. Math. (Debrecen) 48 (1996), 327–338.I (178) A. Bodaghi, S.Y. Jang and C. Park, On the stability ofJordan *-derivation pairs, Results. Math. 64 (2013), 289–303.I (179) D. Ilisevic, Equations arising from Jordan *-derivationpairs, Aequationes Math. 67 (2004), 236–240.I (180) D. Ilisevic, Quadratic functionals on modules over com-plex Banach *-algebras with an approximate identity, StudiaMath. 171 (2005), 103–123.I (181) D. Ilisevic, Quadratic functionals on modules over alter-native *-rings, Studia Sci. Math. Hung. 42 (2005), 459–469.I (182) Abdul-Rahman H. Majeed and A.H. Mahmood, Depen-dent elements of biadditive mappings on semiprime rings, Jour-nal of Al-Nahrain University 18 (2015),141–148.I (183) D. Yang, Jordan *-derivation pairs on standard operatoralgebras and related results, Colloq. Math. 102 (2005), 137–145.I (184) J. Vukman, A note on Jordan *-derivations in semiprimerings with involution, Int. Math. Forum 1 (2006), 617–622.

[26] L. Molnar and P. Semrl, Order isomorphisms and triple iso-morphisms of operator ideals and their reflexivity, Arch. Math.69 (1997), 497–506.

41

I (185) A.T. Jelodar, M.S. Moslehian and A. Sanami, A ternarycharacterization of automorphisms of B(H), Nihonkai Math. J.21 (2010), 1–9.I (186) D. Ilisevic, Generalized bicircular projections via the op-erator equation αX2AY 2 + βXAY + A = 0, Linear AlgebraAppl. 429 (2008), 2025–2029.I (187) W. Timmermann, Remarks on automorphism andderivation pairs in ternary rings of unbounded operators, Arch.Math. 74 (2000), 379–384.

[27] L. Molnar, A proper standard C∗-algebra whose automorphismand isometry groups are topologically reflexive, Publ. Math.(Debrecen) 52 (1998), 563–574.I (188) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.

[28] L. Molnar, Characterization of additive *-homomorphismsand Jordan *-homomorphisms on operator ideals, AequationesMath. 55 (1998), 259–272.I (189) W. Timmermann, Zero product preservers and orthog-onality preservers in algebras of unbounded operators, Math.Pannon. 16 (2005), 165-172.

[29] M. Gyory, L. Molnar and P. Semrl, Linear rank and corank pre-serving maps on B(H) and an application to *-semigroup iso-morphisms of operator ideals, Linear Algebra Appl. 280 (1998),253–266.I (190) D. Ilisevic, Generalized bicircular projections via the op-erator equation αX2AY 2 + βXAY + A = 0, Linear AlgebraAppl. 429 (2008), 2025–2029.I (191) M. Radjabalipour, Additive mappings on von Neumannalgebras preserving absolute values, Linear Algebra Appl. 368(2003), 229–241.I (192) M. Marciniak, On extremal positive maps acting betweentype I factors, M. Bozejko (ed.) et al., Noncommutative har-monic analysis with applications to probability. II: Banach Cen-ter Publ. 89 (2010), 201–221.I (193) W. Timmermann, Zero product preservers and orthog-onality preservers in algebras of unbounded operators, Math.Pannon. 16 (2005), 165-172.I (194) A. Turnsek, On operators preserving James’ orthogonal-ity, Linear Algebra Appl. 407 (2005), 189–195.I (195) L. Zhao and J. Hou, Additive Maps Preserving IndefiniteSemi-Orthogonality, J. Systems Sci. Math. Sci. 27 (2007), 697-702.

42

[30] M. Gyory and L. Molnar, Diameter preserving linear bijectionsof C(X), Arch. Math. 71 (1998), 301–310.I (196) A. Aizpuru and F. Rambla, There’s something about thediameter, J. Math. Anal. Appl. 330 (2007), 949–962.I (197) A. Aizpuru and F. Rambla, Diameter preserving linearbijections and C0(L) spaces, Bull. Belgian Math. Soc. 17 (2010),377–383.I (198) A. Aizpuru and M. Tamayo, On diameter preserving lin-ear maps, J. Korean Math. Soc. 45 (2008), 197–204.I (199) A. Aizpuru and M. Tamayo, Linear bijections which pre-serve the diameter of vector-valued maps, Linear Algebra Appl.424 (2007), 371–377.I (200) B.A. Barnes and A.K. Roy, Diameter preserving mapson various classes of function spaces, Studia Math. 153 (2002),127–145.I (201) F. Cabello Sanchez, Diameter preserving linear maps andisometries, Arch. Math. 73 (1999), 373–379.I (202) F. Cabello Sanchez, Diameter preserving linear maps andisometries II, Proc. Indian Acad. Sci. 110 (2000), 205–211.I (203) F. Cabello Sanchez, Convex transitive norms on spacesof continuous functions, Bull. London. Math. Soc. 37 (2005),107–118.I (204) A. Cabello Sanchez and F. Cabello Sanchez, Maximalnorms on Banach spaces of continous functions, Math. Proc.Camb. Philos. Soc. 129 (2000), 325–330.I (205) R.J. Fleming and J.E. Jamison, Isometries on Banachspaces: Vector-valued function spaces. Vol. 2. Chapman &Hall/CRC Monographs and Surveys in Pure and Applied Math-ematics 138, Boca Raton, 2007.I (206) J.J. Font and M. Hosseini, Diameter preserving mappingsbetween function algebras, Taiwanese J. Math. 15 (2011), 1487–1495.I (207) J.J. Font and M. Sanchis, A characterization of locallycompact spaces with homeomorphic one-point compactifications,Topology Appl., 121 (2002), 91–104.I (208) J.J. Font and M. Sanchis, Extreme points and the diam-eter norm, Rocky Mountain J. Math. 34 (2004), 1325–1332.I (209) F. Gonzalez and V.V. Uspenskij, On homomorphisms ofgroups of integer-valued functions, Extracta Math. 14 (1999),19–29.I (210) J. Hamhalter, Linear maps preserving maximal deviationand the Jordan structure of quantum systems, J. Math. Phys.53 (2012), 122208.

43

I (211) A. Jimenez-Vargas, Linear bijections preserving theHolder seminorm, Proc. Amer. Math. Soc. 135 (2007), 2539–2547.I (212) A. Jimenez-Vargas and M.A. Navarro, Holder seminormpreserving linear bijections and isometries, Proc. Indian Acad.Sci. (Math. Sci.) 119 (2009), 53-62.I (213) J.C. Navarro Pascual and M.G. Sanchez Lirola, Diam-eter, extreme points and topology, Studia Math. 191 (2009),203–209.I (214) T.S.S.R.K. Rao and A.K. Roy, Diameter preserving lin-ear bijections of functions spaces, J. Austral. Math. Soc. 70(2001), 323–335.

[31] L. Molnar and M. Gyory, Reflexivity of the automorphism andisometry groups of the suspension of B(H), J. Funct. Anal. 159(1998), 568–586.I (215) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (216) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (217) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.I (218) F. Cabello Sanchez, Local isometries on spaces of con-tinuous functions, Math. Z. 251 (2005), 735–749.I (219) F. Cabello Sanchez, Automorphisms of algebras ofsmooth functions and equivalent functions, Differ. Geom. Appl.30 (2012), 216-221.I (220) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (221) M.A. Chebotar, W.F. Ke, P.H. Lee and L.S. Shiao,On maps preserving certain algebraic properties, Canad. Math.Bull. 48 (2005), 355–369.I (222) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.I (223) W. Jing and S.J. Lu, Topological reflexivity of the spacesof (α, β)-derivations on operator algebras, Studia Math. 156(2003), 121–131.I (224) J.H. Zhang, A.L. Yang and F.F. Pan, Local automor-phisms on nest subalgebras of factor von Neumann algebras,Linear Algebra Appl. 402 (2005), 335–344.

44

[32] L. Molnar, The automorphism and isometry groups of`∞(N,B(H)) are topologically reflexive, Acta Sci. Math.(Szeged) 64 (1998), 671–680.I (225) N. Boudi and M. Mbekhta, Additive maps preservingstrongly generalized inverses, J. Operator Theory 64 (2010),117-130.I (226) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.I (227) R. El Harti and M Mabrouk, Maps compressing and ex-panding the numerical range on C∗-algebras, Linear MultilinearAlg., to appear.

[33] V. Mascioni and L. Molnar, Linear maps on factors which pre-serve the extreme points of the unit ball, Canad. Math. Bull. 41(1998), 434–441.I (228) J. Cui and J. Hou, A characterization of indefinite-unitary invariant linear maps and relative results, Northeast.Math. J. 22(2006), 89–98.I (229) D. Ilisevic, Generalized bicircular projections via the op-erator equation αX2AY 2 + βXAY + A = 0, Linear AlgebraAppl. 429 (2008), 2025–2029.I (230) T.S.S.R.K. Rao, Nice surjections on spaces of operators,Proc. Indian Acad. Sci. (Math. Sci.) 116 (2006), 401–409.

[34] L. Molnar and P. Semrl, Some linear preserver problems onupper triangular matrices, Linear and Multilinear Algebra 45(1998), 189–206.I (231) Z. Bai, J. Hou and S. Du, Additive maps preserving rank-one operators on nest algebras, Linear and Multilinear Algebra58 (2010), 269–283.I (232) K.I. Beidar, M. Bresar, M.A. Chebotar, Jordan isomor-phisms of triangular matrix algebras over a connected commu-tative ring, Linear Algebra Appl. 312 (2000), 197–201.I (233) K.I. Beidar, M. Bresar and M.A. Chebotar, Functionalidentities on upper triangular matrix algebras, J. Math. Sci. 102(2000), 4557–4565.I (234) D. Benkovic, Jordan derivations and antiderivations ontriangular matrices, Linear Algebra Appl. 397 (2005), 235–244.I (235) C. Boboc, S. Dascalescu and L. van Wyk, Jordan isomor-phisms of 2-torsionfree triangular rings, Linear and MultilinearAlg., to appear.I (236) W.S. Cheung and C.K. Li, Linear operators preservinggeneralized numerical ranges and radii on certain triangular al-gebras of matrices, Canad. Math. Bull. 44 (2001), 270–281.

45

I (237) W.L. Chooi, Rank-one non-increasing additive maps be-tween block triangular matrix algebras, Linear and MultilinearAlgebra 58 (2010), 715–740.I (238) W.L. Chooi and M.H. Lim, Rank-one nonincreasingmappings on triangular matrices and some related preserverproblems, Linear Multilinear Alg. 49 (2001), 305–336.I (239) W.L. Chooi and M.H. Lim, Coherence invariant map-pings on block triangular matrix spaces, Linear Algebra Appl.346 (2002), 199–238.I (240) W.L. Chooi and M.H. Lim, Some linear preserver prob-lems on block triangular matrix algebras, Linear Algebra Appl.370 (2003), 25–39.I (241) W.L. Chooi and M.H. Lim, Additive rank-one preserveron block triangular matrix spaces, Linear Algebra Appl. 416(2006), 588-607.I (242) J. Cui and J. Hou, Linear maps on von Neumann alge-bras preserving zero products or tr-rank, Bull. Austral. Math.Soc. 65 (2002), 79–91.I (243) J. Cui and J. Hou, Linear maps preserving idempotenceon nest algebras, Acta Math. Sinica 20 (2004), 807–820.I (244) J. Cui, J. Hou and B. Li, Linear preservers on uppertriangular operator matrix algebras, Linear Algebra Appl. 336(2001), 29–50.I (245) S. Dascalescu, S. Predut, L. van Wyk, Jordan isomor-phisms of generalized structural matrix rings, Linear MultilinearAlg. 61 (2013), 369–376.I (246) Y. Du and Y. Wang, Additivity of Jordan maps on tri-angular algebras, Linear Multiliear Alg. 60 (2012), 933–940.I (247) Y. Du and Y. Wang, Jordan homomorphisms of uppertriangular matrix rings over a prime ring, Linear Algebra Appl.458 (2014), 197–206.I (248) A. Fosner, Order preserving maps on the poset of up-per triangular idempotent matrices, Linear Algebra Appl. 403(2005), 248–262.I (249) A. Fosner, Automorphisms of the poset of upper triangu-lar idempotent matrices, Linear Multilinear Algebra 53 (2005),27–44.I (250) J. Hou and J. Cui, Rank-1 preserving linear maps onnest algebras, Linear Algebra Appl. 369 (2003), 263–277.I (251) J. Hou and J. Cui, Completely rank nonincreasing linearmaps on nest algebras, Proc. Amer. Math. Soc. 132 (2004),1419–1428.I (252) C.K. Liu and W.Y. Tsai, Jordan isomorphisms of uppertriangular matrix rings, Linear Algebra Appl. 426 (2007), 143–148.

46

I (253) T. Petek, Spectrum and commutativity preserving map-pings on triangular matrices, Linear Algebra Appl. 357 (2002),107–122.I (254) J. Qi, G. Ji, Linear maps preserving idempotency of prod-ucts of matrices on upper triangular matrix algebras, Commun.Math. Res. 25 (2009), 253–264.I (255) M. Radjabalipour, Additive mappings on von Neumannalgebras preserving absolute values, Linear Algebra Appl. 368(2003), 229–241.I (256) R. Slowik, Maps on infinite triangular matrices preserv-ing idempotents, Linear Multilinear Alg. 62 (2014), 938–964.I (257) R. Slowik, Linear minimal rank preservers on infinitetriangular matrices, Kyushu J. Math. 69 (2015), 63–68.I (258) X.M. Tang, C.G. Cao and X. Zhang, Modular automor-phisms preserving idempotence and Jordan isomorphisms of tri-angular matrices over commutative rings, Linear Algebra Appl.338 (2001), 145–152.I (259) J.L. Xu, C.G. Cao and X.M. Tang Linear preservers ofidempotence on triangular matrix spaces over any field, Inter-nat. Math. Forum 2 (2007), 2305–2319.I (260) A. Yang, Jordan isomorphisms on nest subalgebras,Advances in Mathematical Physics, Volume 2015, Article ID864792, 6 pages.I (261) A.L. Yang and J.H. Zhang, Jordan isomorphisms on nestsubalgebras of factor von Neumann algebras, Acta Math. Sinica51 (2008), 219–224.I (262) Y. Wang and Y. Wang, Jordan homomorphisms of up-per triangular matrix rings, Linear Algebra Appl. 439 (2013),4063–4069.I (263) T.L. Wong, Jordan isomorphisms of triangular rings,Proc. Amer. Math. Soc. 133 (2005), 3381–3388.I (264) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.I (265) J.H. Zhang, A.L. Yang and F.F. Pan, Linear maps pre-serving zero products on nest subalgebras of von Neumann al-gebras, Linear Algebra Appl. 412 (2006), 348–361.I (266) X.H. Zhang and J.H. Zhang, Characterizations of Jordanisomorphisms of nest algebras, Acta Math. Sin. 56 (2013), 553–560.

[35] L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (267) D. Bakic and B. Guljas, Wigner’s theorem in Hilbert C∗-modules over C∗-algebras of compact operators, Proc. Amer.Math. Soc. 130 (2002), 2343–2349.

47

I (268) D. Bakic and B. Guljas, Wigner’s theorem in a class ofHilbert C∗-modules, J. Math. Phys. 44 (2003), 2186–2191.I (269) A. Bonami, G. Garrigos and P. Jaming, Discrete radarambiguity problems, Appl. Comput. Harmon. Anal. 23 (2007),388-414.I (270) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (271) H. Du and H.X. Cao, Some remarks on Wigner’s theo-rem, Fangzhi Gaoxiao Jichukexue Xuebao 22 (2009), 346–348.I (272) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (273) Gy.P. Geher, An elementary proof for the non-bijectiveversion of Wigner?s theorem, Phys. Lett. A 378 (2014), 2054–2057.I (274) Gy.P. Geher, Maps on real Hilbert spaces preserving thearea of parallelograms and a preserver problem on self-adjointoperators, J. Math. Anal. Appl. 422 (2015), 1402–1413.I (275) M. Gyory, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving orthogonal-ity, Publ. Math. (Debrecen) 65 (2004), 233–242.I (276) M. Gyory, A new proof of Wigner’s theorem, Rep. Math.Phys. 54 (2004), 159–167.I (277) D. Ilisevic and A. Turnek, A quantitative version of Her-stein??s theorem for Jordan *-isomorphisms, Linear Multilin-ear Alg., to appear.I (278) D.L.W. Kuo, M.C. Tsai, N.C. Wong and J. Zhang, Mapspreserving Schatten p-norms of convex combinations, Abstr.Appl. Anal. (2014), Article ID 520795, 5 pp.I (279) J. Li, Applications of Wigner’s theorem to positive mapspreserving norm of operator products, J. Math. Study 37(2004), 11–16.I (280) J. Li, Applications of Wigner’s theorem to positive mapspreserving norm of operator products, Front. Math. China 1(2006), 582–588.I (281) D. Ilisevic and A. Turnsek, Stability of the Wigner equa-tion - a singular case, J. Math. Anal. Appl. 429 (2015), 273–287.I (282) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (283) P. Semrl, Maps on idempotents, Studia Math. 169(2005), 21–44.

48

I (284) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.I (285) R. Simon, N. Mukunda, S. Chaturvedi and V. SrinivasanTwo elementary proofs of the Wigner theorem on symmetry inquantum mechanics, Phys. Lett. A 372 (2008), 6847–6852.I (286) A. Turnsek, A variant of Wigner?s functional equation,Aequat. Math., to appear.

[36] L. Molnar, Some linear preserver problems on B(H) concerningrank and corank, Linear Algebra Appl. 286 (1999), 311-321.I (287) J. Cui and J. Hou, Linear maps on von Neumann alge-bras preserving zero products or tr-rank, Bull. Austral. Math.Soc. 65 (2002), 79–91.I (288) J. Cui and J. Hou, Linear maps preserving ideals of C∗-algebras, Proc. Amer. Math. Soc. 131 (2003), 3441–3446.I (289) W. Jing, P. Li and S. Lu, Additive mappings that preserverank one nilpotent operators, Linear Algebra Appl. 367 (2003),213–224.I (290) S.O. Kim, Linear maps preserving ideals of C∗-algebras,Proc. Amer. Math. Soc. 129 (2001), 1665–1668.I (291) C.W. Leung, C.W. Tsai and N.C. Wong, Linear disjoint-ness preservers of W ∗-algebras, Math. Z. 270 (2012), 699–708.I (292) C. Yan, G. Zhang and C. Gao, The form of finite rankidempotent operators of B(H) and its application, Natur. Sci.J. Harbin Normal Univ. 22 (2006), 34–36.I (293) H. You, S. Liu and G. Zhang, Rank one preservingR-linear maps on spaces of self-adjoint operators on complexHilbert spaces, Linear Algebra Appl. 416 (2006) 568-579.I (294) G. Zhang and S. Liu, Rank one preserving linear mapson spaces of symmetric operators, J. Heilongjiang Univ. Natur.Sci. 23 (2006), 235–238.I (295) X. Zhang, H. Cui and J. Hou, Jordan semi-triple map-pings preserving rank and minimal rank, Proceedings of theThird International Workshop on Matrix Analysis and Appli-cations, vol 3., World Academic Union, 273–276, 2009.I (296) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.

[37] L. Molnar and B. Zalar, Reflexivity of the group of surjectiveisometries on some Banach spaces, Proc. Edinb. Math. Soc. 42(1999), 17–36.I (297) H. Al-Halees and R.J. Fleming, On 2-local isometries oncontinuous vector-valued function spaces, J. Math. Anal. Appl.354 (2009), 70-77.

49

I (298) F. Cabello Sanchez, Automorphisms of algebras ofsmooth functions and equivalent functions, Differ. Geom. Appl.30 (2012), 216-221.I (299) F. Botelho and J. Jamison, Algebraic and topological re-flexivity properties of lp(X) spaces, J. Math. Anal. Appl., 346(2008), 141-144.I (300) F. Botelho and J. Jamison, Algebraic reflexivity ofC(X,E) and Cambern’s theorem, Studia Math. 186 (2008),295-302.I (301) F. Botelho and J. Jamison, Topological reflexivity ofspaces of analytic functions, Acta Sci. Math. (Szeged) 75(2009), 91–102.I (302) F. Botelho and J. Jamison, Algebraic reflexivity of sets ofbounded operators on vector valued Lipschitz functions, LinearAlgebra Appl. 432 (2010), 3337-3342.I (303) F. Botelho and J. Jamison, Homomorphisms on algebrasof Lipschitz functions, Studia Math. 199 (2010), 95–106.I (304) F. Botelho and J. Jamison, Algebraic reflexivity of tensorproduct spaces, Houston J. Math. 36 (2010), 1133–1137.I (305) F. Botelho and J. Jamison, Algebraic and topological re-flexivity of spaces of Lipschitz functions, Rev. Roumaine Math.Pures Appl. 56 (2011), 105-114.I (306) F. Botelho and J. Jamison, Homomorphisms of non-commutative Banach *-algebrs of Lipschitz functions, in Func-tion Spaces in Modern Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 547, American Mathematical Society, 2011,pp. 73–78.I (307) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.I (308) F. Cabello Sanchez, Local isometries on spaces of con-tinuous functions, Math. Z. 251 (2005), 735–749.I (309) R.J. Fleming and J.E. Jamison, Isometries on Banachspaces: Vector-valued function spaces. Vol. 2. Chapman &Hall/CRC Monographs and Surveys in Pure and Applied Math-ematics 138, Boca Raton, 2007.I (310) M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (311) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.I (312) O. Hatori, T. Miura, H. Oka and H. Takagi, 2-localisometries and 2-local automorphisms on uniform algebras, Int.Math. Forum 2 (2007), 2491–2502.I (313) A. Jimenez-Vargas, A.M. Campoy and M. Villegas-Vallecillos, Algebraic reflexivity of the isometry group of some

50

spaces of Lipschitz functions, J. Math. Anal. Appl. 366 (2010),195–201.I (314) P. Ji and J. Yu, Maps on AF C∗-algebras, J. Math.(Wuhan) 26 (2006), 53–57.I (315) T.S.S.R.K. Rao, Some generalizations of Kadison’s the-orem: A survey, Extracta Math. 19 (2004), 319–334.I (316) T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc.Amer. Math. Soc. 133 (2005), 2729-2732.I (317) T.S.S.R.K. Rao, A note on the algebraic reflexivity ofthe group of surjective isometries of K(C(K)), Expo. Math. 26(2008), 79-83.

[38] L. Molnar, A generalization of Wigner’s unitary-antiunitarytheorem to Hilbert modules, J. Math. Phys. 40 (1999), 5544–5554.I (318) D. Bakic and B. Guljas, Hilbert C∗-modules over C∗-algebras of compact operators, Acta Sci. Math. (Szeged) 68(2002), 249–269.I (319) D. Bakic and B. Guljas, Wigner’s theorem in Hilbert C∗-modules over C∗-algebras of compact operators, Proc. Amer.Math. Soc. 130 (2002), 2343–2349.I (320) D. Bakic and B. Guljas, Wigner’s theorem in a class ofHilbert C∗-modules, J. Math. Phys. 44 (2003), 2186–2191.I (321) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (322) J. Chmielinski, D. Ilisevic, M.S. Moslehian and G.H.Sadeghi, Perturbation of the Wigner equation in inner productC∗-modules, J. Math. Phys. 49 (2008), 033519.I (323) H. Du and H.X. Cao, Some remarks on Wigner’s theo-rem, Fangzhi Gaoxiao Jichukexue Xuebao 22 (2009), 346–348.I (324) C. Dryzun and D. Avnir, Chirality measures for vectors,matrices, operators and functions, ChemPhysChem 12 (2011),197–205.I (325) M. Gyory, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving orthogonal-ity, Publ. Math. (Debrecen) 65 (2004), 233–242.I (326) J. Hamhalter, Quantum Measure Theory, Kluwer Aca-demic Publishers, Dordrecht, Boston, London, 2003.I (327) K. He and J. Hou, A generalization of Wigners theorem,Acta Math. Sci. (Ser. A) 31 (2011), 1633-1636.I (328) K. He and J. Hou, A generalization of Uhlhorn’s versionof Wigners theorem, J. Math. Study 45 (2012), 107–114.

51

I (329) J. Li, Applications of Wigner’s theorem to positive mapspreserving norm of operator products, J. Math. Study 37(2004), 11–16.I (330) J. Li, Applications of Wigner’s theorem to positive mapspreserving norm of operator products, Front. Math. China 1(2006), 582–588.I (331) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (332) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.I (333) R. Simon, N. Mukunda, S. Chaturvedi and V. SrinivasanTwo elementary proofs of the Wigner theorem on symmetry inquantum mechanics, Phys. Lett. A 372 (2008), 6847–6852.I (334) W. Zhang and J. Hou, Maps preserving numerical radiusor cross norms of products on 2× 2 matrix algebras, Journal ofNorth University of China (Natural Science Edition) 30 (2009),506–511.

[39] L. Molnar, Some multiplicative preservers on B(H), Linear Al-gebra Appl. 301 (1999), 1–13.I (335) G. An and J. Hou, Characterizations of isomorphismsby multiplicative maps on operator algebras, Northeast. Math.J. 17 (2001), 438–448.I (336) G. An and J. Hou, Rank-preserving multiplicative mapson B(X), Linear Algebra Appl. 342 (2002), 59–78.I (337) G. An and J. Hou, Multiplicative maps on matrix alge-bras, J. Shanxi Teacher’s Univ. Nat. Sci. Ed. 16 (2002), 1–4.I (338) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (339) F. Botelho and J. Jamison, Homomorphisms on algebrasof Lipschitz functions, Studia Math. 199 (2010), 95–106.I (340) W.S. Cheung, S. Fallat and C.K. Li, Multiplicative pre-servers on semigroups of matrices, Linear Algebra Appl. 355(2002), 173–186.I (341) F.G. Hu, Multiplicative maps on matrices preserving theFrobenius norm, J. Hubei Inst. National. Nat. Sci. 25 (2007),268–271.I (342) L. Huang, L. Chen and F. Lu, Characterizations of au-tomorphisms of operator algebras on Banach spaces, J. Math.Anal. Appl. 430 (2015), 144–151.I (343) F. Lu, Multiplicative mappings of operator algebras, Lin-ear Algebra Appl. 347 (2002), 283–291.I (344) F. Lu and J. Xie, Multiplicative mappings of rings, ActaMath. Sinica 22 (2006), 1017–1020.

52

I (345) L.W. Marcoux, H. Radjavi and A.R. Sourour, Multi-plicative maps that are close to an automorphism on algebrasof linear transformations, Studia Math. 214 (2013), 279–296.

[40] L. Molnar, Multiplicative maps on ideals of operators which arelocal automorphisms, Acta Sci. Math. (Szeged) 65 (1999), 727–736.I (346) G. An and J. Hou, Characterizations of isomorphismsby multiplicative maps on operator algebras, Northeast. Math.J. 17 (2001), 438–448.I (347) G. An and J. Hou, Rank-preserving multiplicative mapson B(X), Linear Algebra Appl. 342 (2002), 59–78.I (348) G. An and J. Hou, Multiplicative maps on matrix alge-bras, J. Shanxi Teacher’s Univ. Nat. Sci. Ed. 16 (2002), 1–4.I (349) F.G. Hu, Multiplicative maps on matrices preserving theFrobenius norm, J. Hubei Inst. National. Nat. Sci. 25 (2007),268–271.I (350) F. Lu, Multiplicative mappings of operator algebras, Lin-ear Algebra Appl. 347 (2002), 283–291.I (351) F. Lu and J. Xie, Multiplicative mappings of rings, ActaMath. Sinica 22 (2006), 1017–1020.

[41] L. Molnar and B. Zalar, On local automorphism of group al-gebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (352) H. Al-Halees and R.J. Fleming, On 2-local isometries oncontinuous vector-valued function spaces, J. Math. Anal. Appl.354 (2009), 70-77.I (353) F. Botelho and J. Jamison, Algebraic and topological re-flexivity of spaces of Lipschitz functions, Rev. Roumaine Math.Pures Appl. 56 (2011), 105-114.I (354) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (355) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.I (356) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (357) S. Dutta and T.S.S.R.K. Rao, Algebraic reflexivity ofsome subsets of the isometry group, Linear Algebra Appl. 429(2008), 1522–1527.I (358) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.

53

I (359) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.I (360) J.H. Liu, N.C. Wong, Local automorphisms of operatoralgebras, Taiwanese J. Math. 11 (2007), 611–619.I (361) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.I (362) T.S.S.R.K. Rao, Local surjective isometries of functionspaces, Expositiones Math. 18 (2000), 285–296.I (363) T.S.S.R.K. Rao, Some generalizations of Kadison’s the-orem: A survey, Extracta Math. 19 (2004), 319–334.I (364) T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc.Amer. Math. Soc. 133 (2005), 2729-2732.I (365) J. Zhu and C. Xiong, Generalized derivable maps at zeropoint on some reflexive operator algebras, Linear Algebra Appl.397 (2005), 367–379.I (366) J. Zhu and C. Xiong, Characterization of generalizedJordan *-left derivations on real nest algebras, Linear AlgebraAppl. 404 (2005), 325–344.I (367) J. Zhu and C. Xiong, Generalized Jordan *-left deriva-tions on real nest algebras, Acta Math. Sinica 48 (2005), 299–310.

[42] L. Molnar, Automatic surjectivity of ring homomorphisms onH∗-algebras and algebraic differences among some group alge-bras of compact groups, Proc. Amer. Math. Soc. 128 (2000),125–134.I (368) O. Hatori, T. Ishii, T. Miura and S. Takahasi, Char-acterizations and automatic linearity for ring homomorphismson algebras of functions, in Function Spaces, K. Jarosz, Edt.Contemporary Mathematics vol. 328, American MathematicalSociety, 2003, pp. 201–215.I (369) T. Miura, S.E. Takahasi and N. Niwa Ring homo-morphisms on commutative regular Banach algebras, NihonkaiMath. J. 19 (2008), 61–74.

[43] L. Molnar, Reflexivity of the automorphism and isometry groupsof C∗-algebras in BDF theory, Arch. Math. 74 (2000), 120–128.I (370) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (371) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (372) F. Cabello Sanchez, The group of automorphisms of L∞is algebraically reflexive, Studia Math. 161 (2004), 19–32.

54

I (373) M. Gyory, On the topological reflexivity of the isometrygroup of the suspension of B(H), Studia Math. 166 (2005),287–303.I (374) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.

[44] L. Molnar, Generalization of Wigner’s unitary-antiunitary the-orem for indefinite inner product spaces, Commun. Math. Phys.210 (2000), 785–791.I (375) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (376) M. Gyory, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving orthogonal-ity, Publ. Math. (Debrecen) 65 (2004), 233–242.I (377) C.W Leung, C.K. Ng and N.C. Wong, Linear orthogo-nality preservers of Hilbert C∗-modules, J. Operator Theory 71(2014), 571–584.I (378) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (379) L. Rodman and P. Semrl, Orthogonality preserving bi-jective maps on real and complex projective spaces, Linear andMultilinear Alg. 54 (2006), 355–367.I (380) L. Rodman and P. Semrl, Orthogonality preserving bijec-tive maps on finite dimensional projective spaces over divisionrings, Linear and Multilinear Alg. 56 (2008), 647-664.I (381) L. Rodman and P. Semrl, Preservers of generalizedorthogonality on finite dimensional real vector and projectivespaces, Linear and Multilinear Alg. 57 (2009), 839–858.I (382) P. Semrl, Generalized symmetry transformations onquaternionic indefinite inner product spaces: An extension ofquaternionic version of Wigner’s theorem, Commun. Math.Phys. 242 (2003), 579–584.I (383) P. Semrl, Applying projective geometry to transforma-tions on rank one idempotents, J. Funct. Anal. 210 (2004),248–257.I (384) P. Semrl, Maps on idempotents, Studia Math. 169(2005), 21–44.I (385) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (386) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.

55

I (387) R. Simon, N. Mukunda, S. Chaturvedi and V. SrinivasanTwo elementary proofs of the Wigner theorem on symmetry inquantum mechanics, Phys. Lett. A 372 (2008), 6847–6852.

[45] L. Molnar and P. Semrl, Local automorphisms of the unitarygroup and the general linear group on a Hilbert space, Expo.Math. 18 (2000), 231–238.I (388) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (389) M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Per-alta, 2-local triple homomorphisms on von Neumann algebrasand JBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (390) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (391) M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (392) A. Jimenez Vargas and M. Villegas Vallecillos, 2-localisometries on spaces of Lipschitz functions, Canad. Math. Bull.54 (2011), 680–692.I (393) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.I (394) A.M. Peralta, A note on 2-local representations of C∗-algebras, Operators and Matrices, to appear.I (395) F. Pop, On local representations of von Neumann alge-bras, Proc. Amer. Math. Soc. 132 (2004), 3569–3576.

[46] L. Molnar, On some automorphisms of the set of effects onHilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (396) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (397) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (398) S. Gudder and R. Greechie, Sequential products on effectalgebras, Rep. Math. Phys. 49 (2002), 87–111.I (399) K. He, J. Hou and C.K. Li, A geometric characterizationof invertible quantum measurement maps, J. Funct. Anal. 264(2013), 464–478.I (400) K. He, F. Sun and J. Hou, Separability of sequentialisomorphisms on quantum effects in multipartite systems, J.Phys. A: Math. Theor. 48 (2015), 075302 (9pp).

56

I (401) J. Hou, K. He and X. Qi, Characterizing sequential iso-morphisms on Hilbert-space effect algebras, J. Phys. A: Math.Theor. 43 (2010), 315206.I (402) S.O. Kim, Automorphisms of Hilbert space effect alge-bras, Linear Algebra Appl. 402 (2005), 193–198.I (403) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.I (404) J. Marovt and T. Petek, Automorphisms of Hilbert spaceeffect algebras equipped with Jordan triple product, the two-dimensional case, Publ. Math. (Debrecen) 66 (2005), 245-250.I (405) J. Marovt, Order preserving bijections of C+(X), Tai-wanese J. Math. 14 (2010), 667–673.I (406) Q. Meng, Z. Xu, Automorphisms and local automor-phisms of positive cones, J. Qufu Norm. Univ. Nat. Sci. Ed.1 (2010), 41–43.I (407) F. Qu, A class of bijective maps preserving *-multiplicativity on B(H), J. Baoji College Arts Sci. Nat. Sci.29 (2009), 13–15.I (408) P. Semrl Symmetries on bounded observables - a unifiedapproach based on adjacency preserving maps, Integral Equa-tions Operator Theory 72 (2012), 7-66.I (409) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (410) Q. Yuan and K. He, Generalized Jordan semitriple mapson Hilbert space effect algebras, Adv. Math. Phys., Volume2014, Article ID 216713, 5 pages.

[47] L. Molnar, A Wigner-type theorem on symmetry transforma-tions in type II factors, Int. J. Theor. Phys. 39 (2000), 1463–1466.I (411) G. Chevalier, Lattice approach to Wigner-type theorems,Int. J. Theor. Phys. 44 (2005), 1905–1915.I (412) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (413) G. Chevalier, Wigner-type theorems for projections, Int.J. Theor. Phys. 47 (2008), 69–80.I (414) M. Gyory, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving orthogonal-ity, Publ. Math. (Debrecen) 65 (2004), 233–242.I (415) K. He and J. Hou, A generalization of Wigners theorem,Acta Math. Sci. (Ser. A) 31 (2011), 1633-1636.I (416) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.

57

I (417) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (418) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.

[48] L. Molnar, On isomorphisms of standard operator algebras, Stu-dia Math. 142 (2000), 295–302.I (419) R.L. An and J.C. Hou, Characterizations of Jordan †-skew multiplicative maps on operator algebras of indefinite innerproduct spaces, Chinese Ann. Math. 26 (2005), 569–582.I (420) R.L. An and J.C. Hou, Additivity of Jordan multiplica-tive maps on Jordan operator algebras, Taiwanese J. Math. 10(2006), 45–64.I (421) R.L. An and J.C. Hou, Jordan ring isomorphism on thespace of symmetric operators, Acta Math. Sin. 55 (2012), 991–1000.I (422) J. Araujo and K. Jarosz, Biseparating maps between op-erator algebras, J. Math. Anal. Appl. 282 (2003), 48–55.I (423) Z. Bai and S. Du, Maps preserving products XY − Y X∗on von Neumann algebras, J. Math. Anal. Appl. 386 (2012),103–109.I (424) M. Dobovisek, Maps from Mn(F) to F that are mul-tiplicative with respect to Jordan triple product, Publ. Math.(Debrecen) 73 (2008), 89–100.I (425) M. Dobovisek, Maps from M2(F) to M3(F) that are mul-tiplicative with respect to the Jordan triple product, AequationesMath. 85 (2013), 539–552.I (426) H. Gao, Jordan-triple multiplicative surjective maps onB(H), J. Math. Anal. Appl. 401 (2013), 397–403.I (427) R.J. Gu and P.S. Ji, Jordan triple maps of triangularalgebras, J. Qingdao Univ. (Nat. Sci. Ed.) 20 (2007), 8–11.I (428) X. Hao, P. Ren and R.L. An, Jordan semi-triple multi-plicative maps on symmetric matrices, Advances in Linear Al-gebra and Matrix Theory 3 (2013), 11–16.I (429) A.T. Jelodar, M.S. Moslehian and A. Sanami, A ternarycharacterization of automorphisms of B(H), Nihonkai Math. J.21 (2010), 1–9.I (430) S.O. Kim and C. Park, Additivity of Jordan triple producthomomorphisms on generalized matrix algebras, Bull. KoreanMath. Soc. 50 (2013), 2027–2034.I (431) G. Lesnjak and N.S. Sze, On injective Jordan semi-triplemaps of matrix algebras, Linear Algebra Appl. 414 (2006), 383–388.I (432) P. Li and W. Jing, Jordan elementary maps on rings,Linear Algebra Appl. 382 (2004), 237–245.

58

I (433) P. Li and F. Lu, Additivity of Jordan elementary mapson nest algebras, Linear Algebra Appl. 400 (2005), 327–338.I (434) F. Lu, Jordan triple maps, Linear Algebra Appl. 375(2003), 311–317.I (435) F. Lu, Jordan derivable maps of prime rings, Commun.Algebra 38 (2010), 4430–4440.I (436) F. Lu and B. Liu, Lie derivable maps on B(X), J. Math.Anal. Appl. 372 (2010), 369-376.I (437) H.A. Mahdi and A.H. Majeed, Derivable maps of primerings, Iraqi J. Sci. 54 (2013), 191–194.I (438) X. Qi and J. Hou, Additivity of Lie multiplicative mapson triangular algebras Linear Multilinear Algebra 59 (2011),391–397.I (439) J. Qian and P. Li, Additivity of Lie maps on operatoralgebras, Bull. Korean Math. Soc. 44 (2007), 271–279.I (440) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (441) A. Taghavi, V. Darvish, H. Rohi, Additivity of mapspreserving products AP ± PA∗ on C∗-algebras, Math. Slovaca,to appear.I (442) A. Taghavi, H. Rohi and V. Darvish, Non-linear *-Jordan derivations on von Neumann algebras, Linear Multi-linear Alg., to appear.I (443) X.P. Yu and F.Y. Lu, Maps preserving Lie product onB(X), Taiwanese J. Math. 12 (2008), 793–806.I (444) H. Zhang and Y. Li, Jordan triple multiplicative maps onthe symmetric matrices, Lecture Notes in Computer Science,2011, Volume 6987/2011, 27–34.

[49] M. Bresar, L. Molnar and P. Semrl, Elementary operators II,Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (445) D.A.A. Ahmed and R. Tribak, Additivity of elementarymaps on generalized matrix algebras, Journal of Algebra, Num-ber Theory: Advances and Applications 13 (2015), 1–12.I (446) R. An and J. Hou, Jordan elementary map on operatoralgebras, Adv. in Math. (China) 41 (2012), 63–72.I (447) P. Ara and M. Mathieu, Local multipliers of C*-algebras,Springer Monographs in Mathematics. Springer-Verlag, Lon-don, 2003.I (448) X.H. Cheng and W. Jing, Additivity of maps on trian-gular algebras, Electr. J. Lin. Alg. 17 (2008), 597–615.I (449) S. Feng, Additivity of elementary maps on nest subalge-bras of von Neumann algebra, J. Baoji College Arts Sci. Nat.Sci. 28 (2008), 177–181.

59

I (450) P. Li, Elementary maps on nest algebras, J. Math. Anal.Appl. 320 (2006), 174–191.I (451) P. Li and W. Jing, Jordan elementary maps on rings,Linear Algebra Appl. 382 (2004), 237–245.I (452) P. Li and F. Lu, Elementary operators on J -subspacelattice algebras, Bull. Austral Math. Soc. 68 (2003), 395–404.I (453) P. Li and F. Lu, Additivity of elementary maps on rings,Commun. Alg. 32 (2004), 3725-3737.I (454) P. Li and F. Lu, Additivity of Jordan elementary mapson nest algebras, Linear Algebra Appl. 400 (2005), 327–338.I (455) P. Li and F. Lu, Jordan elementary operators on J -subspace lattice algebras algebras, Linear Algebra Appl., 428(2008), 2675–2687.I (456) M. Mathieu, Elementary operators on Calkin algebras,Irish Math. Soc. Bulletin 46 (2001), 33–42.I (457) Y. Pang and W. Yang, Elementary operators on stronglydouble triangle subspace lattice algebras, Linear Algebra Appl.433 (2010), 1678-1685.I (458) W. Timmermann, Elementary operators on algebras ofunbounded operators, Acta Math. Hung. 107 (2005) 149–160.I (459) L. Wang, Additivity of Jordan triple elementary maps ontriangular algebras, J. Qingdao Univ. Nat. Sci. Ed. 33 (2012).I (460) M. Wei, J. Zhang Elementary maps on triangular alge-bra, J. Northwest Univ. 45 (2009), 13–15.

[50] L. Molnar, A Wigner-type theorem on symmetry transforma-tions in Banach spaces, Publ. Math. (Debrecen) 58 (2000),231–239.I (461) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (462) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (463) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (464) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.

[51] L. Molnar, A reflexivity problem concerning the C∗-algebraC(X)⊗B(H), Proc. Amer. Math. Soc. 129 (2001), 531–537.I (465) F. Botelho and J. Jamison, Homomorphisms on algebrasof Lipschitz functions, Studia Math. 199 (2010), 95–106.

60

I (466) F. Botelho and J. Jamison, Homomorphisms of non-commutative Banach *-algebrs of Lipschitz functions, in Func-tion Spaces in Modern Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 547, American Mathematical Society, 2011,pp. 73–78.

[52] L. Molnar, Transformations on the set of all n-dimensional sub-spaces of a Hilbert space preserving principal angles, Commun.Math. Phys. 217 (2001), 409–421.I (467) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (468) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (469) J. Dauxois, G.M. Nkiet, Y. Romain, Canonical analysisrelative to a closed subspace, Linear Algebra Appl. 388 (2004)119–145.I (470) A. Galantai, Subspaces, angles and pairs of orthogonalprojections, Linear and Multilinear Algebra, 56 (2008), 227–260.I (471) M. Gyory, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving orthogonal-ity, Publ. Math. (Debrecen) 65 (2004), 233–242.I (472) K. He and J. Hou, A generalization of Uhlhorn’s versionof Wigners theorem, J. Math. Study 45 (2012), 107–114.I (473) T. Heinosaari and M. Ziman, Guide to mathematical con-cepts of quantum theory, Acta Phys. Slov. 58 (2008), 487–674.I (474) J. Hou, C.K. Li and N.C. Wong, Jordan isomorphismsand maps preserving spectra of certain operator products, StudiaMath. 184 (2008), 31–47.I (475) P. Semrl, Orthogonality preserving transformations onthe set of n-dimensional subspaces of a Hilbert space, Illinois J.Math. 48 (2004), 567–573.I (476) P. Semrl, Maps on idempotents, Studia Math. 169(2005), 21–44.I (477) P. Semrl, Maps on idempotent matrices over divisionrings, J. Algebra 298 (2006), 142–187.I (478) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (479) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.

61

I (480) L. Wang, J. Hou and K. He, Fidelity, sub-fidelity, super-fidelity and their preservers, Int. J. Quantum Inf. 13 (2015),1550027, 11 pp.I (481) J. Xu, B. Zheng and H. Yao, Linear transformationsbetween multipartite quantum systems that map the set of tensorproduct of idempotent matrices into idempotent matrix set, J.Funct. Space Appl. Volume 2013, Article ID 182569, 7 pages.I (482) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.

[53] L. Molnar and Zs. Pales, ⊥-order automorphisms of Hilbertspace effect algebras: The two-dimensional case, J. Math. Phys.42 (2001), 1907–1912.I (483) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (484) G. Cassinelli, E. De Vito, P.J. Lahti and A. Levrero, TheTheory of Symmetry Actions in Quantum Mechanics, LectureNotes in Physics 654, Springer, 2004.I (485) D.J. Foulis, Observables, states, and symmetries in thecontext of CB-effect algebras, Rep. Math. Phys. 60 (2007), 329–346.I (486) S.O. Kim, Automorphisms of Hilbert space effect alge-bras, Linear Algebra Appl. 402 (2005), 193–198.I (487) P. Lahti, M. Maczynski and K. Ylinen, Unitary and an-tiunitary operators mapping vectors to paralell or to orthogo-nal ones, with applications to symmetry transformations, Lett.Math. Phys. 55 (2001), 43–51.I (488) M. Maczynski and E. Scheffold, On elementary operatorsof length 1 and some order intervals in Bs(H), Acta Sci. Math.(Szeged) 70 (2004), 405–417.I (489) J. Marovt, Order preserving bijections of C(X , I), J.Math. Anal. Appl. 311 (2005), 567–581.I (490) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.I (491) Q. Meng, Z. Xu, Automorphisms and local automor-phisms of positive cones, J. Qufu Norm. Univ. Nat. Sci. Ed.1 (2010), 41–43.I (492) S. Pulmannova, Tensor products of Hilbert space effectalgebras, Rep. Math. Phys. 53 (2004), 301–316.I (493) P. Semrl, Comparability preserving maps on Hilbert spaceeffect algebras, Comm. Math. Phys. 313 (2012), 375–384.I (494) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.

62

I (495) P. Semrl Automorphisms of Hilbert space effect algebras,J. Phys. A: Math. Theor. 48 (2015) 195301.

[54] L. Molnar, Characterizations of the automorphisms of Hilbertspace effect algebras, Commun. Math. Phys. 223 (2001), 437–450.I (496) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (497) G. Cassinelli, E. De Vito, P.J. Lahti and A. Levrero, TheTheory of Symmetry Actions in Quantum Mechanics, LectureNotes in Physics 654, Springer, 2004.I (498) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (499) J. Hamhalter, Spectral order of operators and range pro-jections, J. Math. Anal. Appl. 331 (2007), 1122-1134.I (500) K. He, J. Hou and C.K. Li, A geometric characterizationof invertible quantum measurement maps, J. Funct. Anal. 264(2013), 464–478.I (501) H. Heinosaari, A simple sufficient condition for the coex-istence of quantum effects, J. Phys. A: Math. Theor. 46 (2013),152002.I (502) H. Heinosaari, D. Reitzner and P. Stano, Notes on jointmeasurability of quantum observables, Found. Phys. 38 (2008),1133–1147.I (503) T. Heinosaari and M. Ziman, Guide to mathematical con-cepts of quantum theory, Acta Phys. Slov. 58 (2008), 487–674.I (504) J. Marovt, Order preserving bijections of C(X , I), J.Math. Anal. Appl. 311 (2005), 567–581.I (505) M. Radjabalipour and P. Torabian, On nonlinear pre-servers of weak matrix majorization, Bull. Iranian Math. Soc.32 (2006), 21–30.I (506) P. Semrl, Comparability preserving maps on Hilbert spaceeffect algebras, Comm. Math. Phys. 313 (2012), 375–384.I (507) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (508) P. Semrl Automorphisms of Hilbert space effect algebras,J. Phys. A: Math. Theor. 48 (2015) 195301.I (509) P. Stano, D. Reitzner and T. Heinosaari, Coexistence ofqubit effects, Phys. Rev. A 78 (2008), 012315.

[55] L. Molnar, *-semigroup endomorphisms of B(H), in I. Gohberget al. (Edt.), Operator Theory: Advances and Applications,Vol. 127, pp. 465–472, Birkhauser, 2001.

63

I (510) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (511) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.

[56] L. Molnar, Order-automorphisms of the set of bounded observ-ables, J. Math. Phys. 42 (2001), 5904–5909.I (512) S. Artstein-Avidan and B. A. Slomka, Order isomor-phisms in cones and a characterization of duality for ellipsoids,Sel. Math. New Ser. 18 (2012), 391–415.I (513) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (514) M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (515) J.L. Cui, Nonlinear preserver problems on B(H), ActaMath. Sin. 27 (2011), 193–202.I (516) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (517) M. Maczynski and E. Scheffold, On elementary operatorsof length 1 and some order intervals in Bs(H), Acta Sci. Math.(Szeged) 70 (2004), 405–417.I (518) P. Semrl, Linear Preserver Problems, In Handbook ofLinear Algebra (L. Hogben edt.) Discrete Mathematics and itsApplications, Chapman and Hall, 2007, 22-1.I (519) P. Semrl, Non-linear commutativity preserving maps onhermitian matrices, Proc. Roy. Soc. Edinburgh Sect. A 138(2008), 157–168.I (520) P. Semrl, Comparability preserving maps on bounded ob-servables, Integral Equations Operator Theory 62 (2008), 441–454.I (521) P. Semrl Symmetries on bounded observables - a unifiedapproach based on adjacency preserving maps, Integral Equa-tions Operator Theory 72 (2012), 7-66.I (522) P. Semrl, Comparability preserving maps on Hilbert spaceeffect algebras, Comm. Math. Phys. 313 (2012), 375–384.I (523) P. Semrl and A.R. Sourour, Order preserving maps onhermitian matrices, J. Austral. Math. Soc. 95 (2013), 129–132.I (524) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.

[57] L. Molnar, Fidelity preserving maps on density operators, Rep.Math. Phys. 48 (2001), 299–303.

64

I (525) I. Bengtssone and K. Zyczkowski, Geometry of QuantumStates: An Introduction to Quantum Entanglement, CambridgeUniversity Press, 2006.I (526) L. Maccone, Information-disturbance tradeoff in quan-tum measurements, Phys. Rev. A 73 (2006), 042307.I (527) G. Nagy, Commutativity preserving maps on quantumstates, Rep. Math. Phys. 63 (2009), 447–464.I (528) A. Rivas, S.F. Huelga and M. Plenio, Quantum non-Markovianity: characterization, quantification and detection,Rep. Progr. Phys. 77 (2014), 094001, 26 pp.I (529) T. Tanengtang, K. Paithoonwattanakij, P.P. Yupapinand S. Suchat, Quantum bits generation using correlated pho-tons: Fidelity and error corrections, Optik 121 (2010), 1976-1980.I (530) L. Wang, J. Hou and K. He, Fidelity, sub-fidelity, super-fidelity and their preservers, Int. J. Quantum Inf. 13 (2015),1550027, 11 pp.

[58] L. Molnar, Local automorphisms of some quantum mechanicalstructures, Lett. Math. Phys. 58 (2001), 91–100.I (531) M. Barczy and M. Toth, Local automorphisms of the setsof states and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (532) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (533) M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (534) M.A. Chebotar, W.F. Ke, P.H. Lee and L.S. Shiao,On maps preserving certain algebraic properties, Canad. Math.Bull. 48 (2005), 355–369.I (535) S.O. Kim, Automorphisms of Hilbert space effect alge-bras, Linear Algebra Appl. 402 (2005), 193–198.I (536) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.I (537) J.H. Liu, N.C. Wong, Local automorphisms of operatoralgebras, Taiwanese J. Math. 11 (2007), 611–619.I (538) Q. Meng, Z. Xu, Automorphisms and local automor-phisms of positive cones, J. Qufu Norm. Univ. Nat. Sci. Ed.1 (2010), 41–43.I (539) H. Zhang and X. Wang, Local E-automorphisms on effectalgebras, Pure Math. 2 (2012), 152–155.I (540) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.

65

[59] L. Molnar, Jordan maps on standard operator algebras, Func-tional Equations – Results and Advances, in Z. Daroczy and Zs.Pales (eds.), Advances in Mathematics, vol 3., Kluwer Acad.Publ., Dordrecht, 2001, pp. 305–320.I (541) R.L. An and J.C. Hou, Characterizations of Jordan †-skew multiplicative maps on operator algebras of indefinite innerproduct spaces, Chinese Ann. Math. 26 (2005), 569–582.I (542) R.L. An and J.C. Hou, Additivity of Jordan multiplica-tive maps on Jordan operator algebras, Taiwanese J. Math. 10(2006), 45–64.I (543) R.L. An and J.C. Hou, A characterization of *-automorphism on B(H), Acta Math. Sin. 26 (2010), 287–294.I (544) R.L. An and J.C. Hou, Jordan ring isomorphism on thespace of symmetric operators, Acta Math. Sin. 55 (2012), 991–1000.I (545) G. Dolinar, Maps on Mn preserving Lie products, Publ.Math. (Debrecen) 71 (2007), 467–478.I (546) S. Feng and J.H. Zhang, Additivity of elementary mapson nest subalgebra of von Neumann algebra, J. Xi’an Univ. Art.Sci. Nat. Sci. Ed. 9 (2006), 29–32.I (547) A. Fosner, B. Kuzma, T. Kuzma, S.S. Sze, Maps pre-serving matrix pairs with zero Jordan product, Linear and Mul-tilinear Algebra 59 (2011), 507–529.I (548) H. Gao, Jordan-triple multiplicative surjective maps onB(H), J. Math. Anal. Appl. 401 (2013), 397–403.I (549) X. Hao, P. Ren and R.L. An, Jordan semi-triple multi-plicative maps on symmetric matrices, Advances in Linear Al-gebra and Matrix Theory 3 (2013), 11–16.I (550) P. Ji, Additivity of Jordan maps on Jordan algebras, Lin-ear Algebra Appl. 431 (2009), 179-188.I (551) P. Ji and Z. Liu, Additivity of Jordan maps on standardJordan operator algebras, Linear Algebra Appl. 430 (2009),335–343.I (552) P. Ji, L. Sun, J. Chen, Jordan multiplicative isomor-phisms on spin factors, J. Shandong Univ. Nat. Sci. Ed. 46(2011), 1–3.I (553) W. Jing and F. Lu, Additivity of Jordan (triple) deriva-tions on rings, Linear and Multilinear Algebra 40 (2012), 2700–2719.I (554) P. Li and F. Lu, Additivity of Jordan elementary mapson nest algebras, Linear Algebra Appl. 400 (2005), 327–338.I (555) Y. Li and Z. Xiao, Additivity of maps on generalizedmatrix algebras, Electron. J. Linear Algebra 22 (2011), 743–757.

66

I (556) Z. Ling and F. Lu, Jordan maps of nest algebras, LinearAlgebra Appl. 387 (2004), 361–368.I (557) F. Lu, Additivity of Jordan maps on standard operatoralgebras, Linear Algebra Appl. 357 (2002), 121–131.I (558) F. Lu, Jordan maps on associative algebras, Commun.Algebra 31 (2003), 2273–2286.I (559) F. Lu, Jordan triple maps, Linear Algebra Appl. 375(2003), 311–317.I (560) F. Lu and B. Liu, Lie derivable maps on B(X), J. Math.Anal. Appl. 372 (2010), 369-376.I (561) J. Qian and P. Li, Additivity of Lie maps on operatoralgebras, Bull. Korean Math. Soc. 44 (2007), 271–279.I (562) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (563) X.P. Yu and F.Y. Lu, Maps Preserving Lie Product onB(X), Taiwanese J. Math. 12 (2008), 793–806.I (564) H. Zhang and Y. Li, Jordan triple multiplicative maps onthe symmetric matrices, Lecture Notes in Computer Science,2011, Volume 6987/2011, 27–34.

[60] L. Molnar, Some characterizations of the automorphisms ofB(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (565) Z. Abdelali, A. Achchi and R. Marzouki, Maps preservingthe local spectrum ofskew-product of operators, Linear AlgebraAppl. 485 (2015), 58–71.I (566) T. Abe, S. Akiyama, and O. Hatori, Isometries of thespecial orthogonal group, Linear Algebra Appl. 439 (2013), 174–188.I (567) Z. Bai and J. Hou, Characterizing isomorphisms betweenstandard operator algebras by spectral functions, J. Oper. Theo.54 (2005), 291–303.I (568) M. Bendaoud, Preservers of local spectrum of matrix Jor-dan triple products, Linear Algebra Appl. 471 (2015), 604–614.I (569) M. Bendaoud, M. Jabbar and M. Sarih Preservers of lo-cal spectra of operator products, Linear and Multilinear Algebra63 (2015), 806–819.I (570) A. Bourhim, M. Mabrouk, Maps preserving the localspectrum of Jordan product of matrices, Linear Algebra Appl.484 (2015), 379–395.I (571) A. Bourhim, J. Mashreghi, and A. Stepanyan, Nonlinearmaps preserving the minimum and surjectivity moduli, LinearAlgebra Appl. 463 (2014), 171–189.I (572) A. Bourhim and J. Mashreghi, Maps preserving the localspectrum of product of operators, Glasgow Math. J. 57 (2015),709–718.

67

I (573) M. Bresar and S. Spenko Determining elements in Ba-nach algebras through spectral properties, J. Math. Anal. Appl.393 (2012), 144–150.I (574) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Nonlinear conditions for weighted composition op-erators between Lipschitz algebras, J. Math. Anal. Appl. 359(2009), 1–14.I (575) J.T. Chan, C.K. Li and N.S. Sze, Mappings on Matrices:Invariance of Functional Values of Matrix Products, J. Austral.Math. Soc. 81 (2006), 165–184.I (576) J.T. Chan, C.K. Li and N.S. Sze, Mappings preservingspectra of product of matrices, Proc. Amer. Math. Soc. 135(2007), 977–986.I (577) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (578) J. Cui and C.K. Li, Maps preserving peripheral spectrumof Jordan products of operators, Oper. Matrices 6 (2012), 129–146.I (579) J. Cui, C.K. Li and Y.T. Poon, Pseudospectra of specialoperators and pseudospectrum preservers, J. Math. Anal. Appl.419 (2014), 1261–1273.I (580) Q. Di and J. Hou, Maps preserving numerical range ofproducts of operators, J. Shanxi Teacher’s Univ. Nat. Sci. Ed.19 (2005), 1–4.I (581) D. Ethier, T. Lindberg, and A. Luttman, Polynomialidentification in uniform and operator algebras, Ann. Funct.Anal. 1 (2010), 105–122.I (582) H.L Gau and C.K. Li, C∗-isomorphisms, Jordan iso-morphisms, and numerical range preserving maps, Proc. Amer.Math. Soc. 135 (2007), 2907–2914.I (583) S.A. Grigoryan and T.V. Tonev, Shift-invariant Uni-form Algebras on Groups, Monografie Matematyczne, Vol. 68,Birkhauser Verlag, 2006.I (584) O. Hatori, K. Hino, T. Miura and H. Oka, Peripherallymonomial-preserving maps between uniform algebras, Mediterr.J. Math. 6 (2009), 47-59.I (585) O. Hatori, G. Hirasawa and T. Miura, Additively spectral-radius preserving surjections between unital semisimple commu-tative Banach algebras, Cent. Eur. J. Math. 8 (2010), 597–601.I (586) O. Hatori, A. Jimenez-Vargas and M. Villegas-Vallecillos, Maps which preserve norms of non-symmetrical quo-tients between groups of exponentials of Lipschitz functions, J.Math. Anal. Appl. 415 (2014), 825–845.

68

I (587) O. Hatori, S. Lambert, A. Luttman, T. Miura, T. Tonev,and R. Yates Spectral preservers in commutative Banach alge-bras, in Function Spaces in Modern Analysis, K. Jarosz, Edt.Contemporary Mathematics vol. 547, American MathematicalSociety, 2011, pp. 103–124.I (588) O. Hatori, T. Miura and H. Oka, An example of mul-tiplicatively spectrum-preserving maps between non-isomorphicsemi-simple commutative Banach algebras, Nihonkai Math. J.18 (2007), 11–15.I (589) O. Hatori, T. Miura, H. Oka and H. Takagi, 2-localisometries and 2-local automorphisms on uniform algebras, Int.Math. Forum 2 (2007), 2491–2502.I (590) O. Hatori, T. Miura, H. Oka and H. Takagi, Peripheralmultiplicativity of maps on uniformly closed algebras of contin-uous functions which vanish at infinity, Tokyo J. of Math. 32(2009), 91–104.I (591) O. Hatori, T. Miura, R. Shindo and H. Takagi, General-izations of spectrally multiplicative surjections between uniformalgebras, Rend. Circ. Mat. Palermo 59 (2010), 161–183.I (592) O. Hatori, T. Miura and H. Takagi, Characterizationsof isometric isomorphisms between uniform algebras via non-linear range-preserving properties, Proc. Amer. Math. Soc. 134(2006), 2923–2930.I (593) O. Hatori, T. Miura and H. Takagi, Unital and multi-plicatively spectrum-preserving surjections between semi-simplecommutative Banach algebras are linear and multiplicative, J.Math. Anal. Appl. 326 (2007), 281–296.I (594) G. Hirasawa, T. Miura and R. Shindo, A generalizationof the Banach-Stone theorem for commutative Banach algebras,Nihonkai Math. J. 21 (2010), 105–114.I (595) G. Hirasawa, T. Miura and H. Takagi, Spectral radii con-ditions for isomorphisms between unital semisimple commuta-tive Banach algebras, in Function Spaces in Modern Analysis,K. Jarosz, Edt. Contemporary Mathematics vol. 547, AmericanMathematical Society, 2011, pp. 125–134.I (596) G. Hirasawa and H. Oka, A polynomially spectrum pre-serving map between uniform algebras, Nihonkai Math. J. 21(2010), 115–119.I (597) D. Honma, Surjections on the algebras of continu-ous functions which preserve peripheral spectrum, in FunctionSpaces, K. Jarosz, Edt. Contemporary Mathematics vol. 435,American Mathematical Society, 2007, pp. 199–206.I (598) D. Honma, Norm-preserving surjections on the algebrasof continuous functions, Rocky Mount. J. Math. 39 (2009),1517–1531.

69

I (599) M. Hosseini and M. Amini, Peripherally multiplicativemaps between Figa-Talamanca-Herz algebras, Publ. Math. (De-berecen) 86 (2015), 71–88.I (600) M. Hosseini and J.J. Font, Norm-additive in modu-lus maps between function algebras, Banach J. Math. Anal. 8(2014), 79–92.I (601) M. Hosseini and F. Sady, Multiplicatively range-preserving maps between Banach function algebras, J. Math.Anal. Appl. 357 (2009), 314-322.I (602) M. Hosseini and F. Sady, Multiplicatively and non-symmetric multiplicatively norm-preserving maps, Cent. Eur.J. Math. 8 (2010), 878–889.I (603) M. Hosseini and F. Sady, Weighted composition operatorson C(X) and Lipc(X,α), Tokyo J. of Math. 35 (2012), 71–84.I (604) M. Hosseini and F. Sady, Banach function algebras andcertain polynomially norm-preserving maps, Banach J. Math.Anal. 6 (2012), 1–18.I (605) M. Hosseini and F. Sady, Maps between Banach functionalgebras satisfying certain norm conditions, Cent. Eur. J. Math.11 (2013), 1020–1033.I (606) J. Hou and Q. Di, Maps preserving numerical ranges ofoperator products, Proc. Amer. Math. Soc. 134 (2006), 1435–1446.I (607) J. Hou, C.K. Li and N.C. Wong, Jordan isomorphismsand maps preserving spectra of certain operator products, StudiaMath. 184 (2008), 31–47.I (608) A.T. Jelodar, M.S. Moslehian and A. Sanami, A ternarycharacterization of automorphisms of B(H), Nihonkai Math. J.21 (2010), 1–9.I (609) A. Jimenez-Vargas, K. Lee, A. Luttman and M. Villegas-Vallecillos, Generalized weak peripheral multiplicativity in al-gebras of Lipschitz functions, Cent. Eur. J. Math. 11 (2013),1197–1211.I (610) A. Jimenez-Vargas, A. Luttman and M. Villegas-Vallecillos, Weakly peripherally multiplicative surjections ofpointed Lipschitz algebras, Rocky Mountain J. Math. 40 (2010),1903–1922.I (611) A. Jimenez-Vargas and M. Villegas-Vallecillos, Lips-chitz algebras and peripherally-multiplicative maps, Acta Math.Sinica 24 (2008), 1233–1242.I (612) S. Lambert, A. Luttman and T. Tonev, Weaklyperipherally-multiplicative mappings between uniform algebras,in Function Spaces, K. Jarosz, Edt. Contemporary Mathemat-ics vol. 435, American Mathematical Society, 2007, pp. 265–282.

70

I (613) K. Lee, Characterizations of peripherally multiplicativemappings between real function algebras, Publ. Math. (Debre-cen) Math. Debrecen 84 (2014), 379–397.I (614) K. Lee, A multiplicative Banach-Stone theorem, in Func-tion Spaces in Analysis, K. Jarosz, Edt. Contemporary Math-ematics vol. 645, American Mathematical Society, 2015, pp.191–198.I (615) K. Lee and A. Luttman, Generalizations of weaklyperipherally multiplicative maps between uniform algebras, J.Math. Anal. Appl. 375 (2011), 108–117.I (616) C.K. Li and E. Poon, Schur product of matrices andnumerical radius (range) preserving maps, Linear Alg. Appl.424 (2007), 8–24.I (617) C.K. Li, P. Semrl and N.S. Sze, Maps preserving thenilpotency of products of operators, Linear Alg. Appl. 424(2007), 222-239.I (618) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.I (619) A. Luttman and S. Lambert, Norm conditions for uni-form algebra isomorphisms, Cent. Europ. J. Math., 6 (2008),272–280.I (620) A. Luttman and T. Tonev, Uniform algebra isomor-phisms and peripheral multiplicativity, Proc. Amer. Math. Soc.135 (2007), 3589–3598.I (621) A. Maouche, Spectrum preserving mappings in Banachalgebras, Far East J. Math. Sci. 21 (2006), 27–31.I (622) T. Miura, D. Honma A generalization of peripherally-multiplicative surjections between standard operator algebras,Cent. Eur. J. Math. 7 (2009), 479–486.I (623) T. Miura, D. Honma and R. Shindo, Divisibly norm-preserving maps between commutative Banach algebras, RockyMountain J. Math. 41 (2011), 1675–1699.I (624) T. Miura and T. Tonev, Mappings onto multiplicativesubsets of function algebras and spectral properties of their prod-ucts, Ark. Mat. 53 (2015), 329–358.I (625) M. Najafi Tavani, Peripherally multiplicative operatorson unital commutative Banach algebras, Banach J. Math. Anal.9 (2015), 75–84.I (626) N.V. Rao and A.K. Roy, Multiplicatively spectrum-preserving maps of function algebras, Proc. Amer. Math. Soc.133 (2005), 1135–1142.I (627) N.V. Rao and A.K. Roy, Multiplicatively spectrum-preserving maps of function algebras II, Proc. Edinb. Math.Soc. 48 (2005), 219–229.

71

I (628) N.V. Rao, T.V. Tonev and E.T. Toneva, Uniform algebraisomorphisms and peripheral spectra, In: Topological Algebras(Eds. A. Malios and M. Haralampidu), Contemporary Math.427 (2007), 401–416.I (629) R. Shindo, Norm conditions for real-algebra isomor-phisms between uniform algebras, Centr. Eur. Math. J. 8 (2010),135–147.I (630) R. Shindo, Maps between uniform algebras preservingnorms of rational functions, Mediterr. J. Math. 8 (2011), 81–95.I (631) R. Shindo, Weakly-peripherally multiplicative conditionsand isomorphisms between uniform algebras, Publ. Math. (De-brecen) 78 (2011), 675–685.I (632) A. Taghavi and E. Dadar, Range-preserving maps onoperator algebras, Int. J. Contemp. Math. Sci. 3 (2008), 311–317.I (633) T. Tonev, Weak multiplicative operators on function al-gebras without units, Banach Cent. Publ. 91 (2010), 411–421.I (634) T. Tonev, Spectral conditions for almost composition op-erators between algebras of functions, Proc. Amer. Math. Soc.142 (2014), 2721–2732.- See more at: http://www.ams.org/journals/proc/2014-142-08/S0002-9939-2014-12005-3/sthash.R7f2ogZX.dpufI (635) T. Tonev and A. Luttman, Algebra isomorphisms be-tween standard operator algebras, Studia Math. 191 (2009),163–170.I (636) T. Tonev and R. Yates, Norm-linear and norm-additiveoperators between uniform algebras, J. Math. Anal. Appl. 357(2009), 45–53.I (637) W. Zhang and J. Hou, Maps preserving peripheral spec-trum of Jordan semi-triple products of operators, Linear Alge-bra Appl. 435 (2011), 1326-1335.I (638) W. Zhang and J. Hou, Maps preserving peripheral spec-trum of generalized Jordan products of self-adjoint operators,Abstr. Appl. Anal. Volume 2014, Article ID 192040, 8 pages.I (639) W. Zhang and J. Hou, Maps preserving peripheral spec-trum of generalized products of operators, Linear Algebra Appl.468 (2015), 87–106.I (640) W. Zhang, J. Hou and X. Qi, Maps preserving periph-eral spectrum of generalized Jordan products of operators, ActaMath. Sin. 31 (2015), 953–972.

[61] L. Molnar, Conditionally multiplicative maps on the set of allbounded observables preserving compatibility, Linear AlgebraAppl. 349 (2002), 197–201.

72

I (641) M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (642) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.

[62] L. Molnar, 2-local isometries of some operator algebras, Proc.Edinb. Math. Soc. 45 (2002), 349–352.I (643) H. Al-Halees and R.J. Fleming, On 2-local isometries oncontinuous vector-valued function spaces, J. Math. Anal. Appl.354 (2009), 70-77.I (644) M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Per-alta, 2-local triple homomorphisms on von Neumann algebrasand JBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (645) M.A. Chebotar, W.F. Ke and P.H. Lee, Maps character-ized by action on zero products, Pacific J. Math. 216 (2004),217–228.I (646) R.J. Fleming and J.E. Jamison, Isometries on Banachspaces: Vector-valued function spaces. Vol. 2. Chapman &Hall/CRC Monographs and Surveys in Pure and Applied Math-ematics 138, Boca Raton, 2007.I (647) M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (648) O. Hatori, T. Miura, H. Oka and H. Takagi, 2-localisometries and 2-local automorphisms on uniform algebras, Int.Math. Forum 2 (2007), 2491–2502.I (649) P. Ji and J. Yu, Maps on AF C∗-algebras, J. Math.(Wuhan) 26 (2006), 53–57.I (650) P.S. Ji and C.P. Wei, Isometries and 2-local isometrieson Cartan bimodule algebras in hyperfinite factors of type II1,Acta Math. Sinica. 49 (2006), 51–58.I (651) A. Jimenez Vargas and M. Villegas Vallecillos, 2-localisometries on spaces of Lipschitz functions, Canad. Math. Bull.54 (2011), 680–692.I (652) S.O. Kim and J.S. Kim, Local automorphisms andderivations on Mn, Proc. Amer. Math. Soc. 132 (2004), 1389–1392.I (653) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.I (654) A.M. Peralta, A note on 2-local representations of C∗-algebras, Operators and Matrices, to appear.

73

[63] F. Cabello Sanchez and L. Molnar, Reflexivity of the isometrygroup of some classical spaces, Rev. Mat. Iberoam. 18 (2002),409–430.I (655) H. Al-Halees and R.J. Fleming, On 2-local isometries oncontinuous vector-valued function spaces, J. Math. Anal. Appl.354 (2009), 70-77.I (656) F. Botelho and J. Jamison, Algebraic reflexivity ofC(X,E) and Cambern’s theorem, Studia Math. 186 (2008),295-302.I (657) F. Botelho and J. Jamison, Topological reflexivity ofspaces of analytic functions, Acta Sci. Math. (Szeged) 75(2009), 91–102.I (658) F. Botelho and J. Jamison, Algebraic reflexivity of sets ofbounded operators on vector valued Lipschitz functions, LinearAlgebra Appl. 432 (2010), 3337-3342.I (659) F. Botelho and J. Jamison, Homomorphisms on algebrasof Lipschitz functions, Studia Math. 199 (2010), 95–106.I (660) F. Botelho and J. Jamison, Algebraic reflexivity of tensorproduct spaces, Houston J. Math. 36 (2010), 1133–1137.I (661) F. Botelho and J. Jamison, Algebraic and topological re-flexivity of spaces of Lipschitz functions, Rev. Roumaine Math.Pures Appl. 56 (2011), 105-114.I (662) F. Botelho and J. Jamison, Homomorphisms of non-commutative Banach *-algebrs of Lipschitz functions, in Func-tion Spaces in Modern Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 547, American Mathematical Society, 2011,pp. 73–78.I (663) M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Automorphisms on algebras of operator-valued Lip-schitz maps, Publ. Math. (Debrecen) 81 (2012), 127–144.I (664) R.J. Fleming and J.E. Jamison, Isometries on Banachspaces: Vector-valued function spaces. Vol. 2. Chapman &Hall/CRC Monographs and Surveys in Pure and Applied Math-ematics 138, Boca Raton, 2007.I (665) M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (666) O. Hatori, T. Miura, H. Oka and H. Takagi, 2-localisometries and 2-local automorphisms on uniform algebras, Int.Math. Forum 2 (2007), 2491–2502.I (667) K. Jarosz and T.S.S.R.K. Rao, Local isometries of func-tion spaces, Math. Z. 243 (2003), 449–469.I (668) A. Jimenez-Vargas, A.M. Campoy and M. Villegas-Vallecillos, Algebraic reflexivity of the isometry group of somespaces of Lipschitz functions, J. Math. Anal. Appl. 366 (2010),195–201.

74

I (669) T.S.S.R.K. Rao, Some generalizations of Kadison’s the-orem: A survey, Extracta Math. 19 (2004), 319–334.I (670) T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc.Amer. Math. Soc. 133 (2005), 2729-2732.I (671) T.S.S.R.K. Rao, A note on the algebraic reflexivity ofthe group of surjective isometries of K(C(K)), Expo. Math. 26(2008), 79-83.

[64] L. Molnar, Orthogonality preserving transformations on indef-inite inner product spaces: generalization of Uhlhorn’s versionof Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (672) R. An and J. Hou, Characterizations of Lie-skew multi-plicative maps on operator algebras of indefinite inner productspaces, Publ. Math. (Debrecen) 77 (2010), 101–113.I (673) R. An, C. Xue and J. Hou, Equivalent characterizationof derivations on operator algebras, Linear Multilinear Algebra,to appear.I (674) Z. Bai and J. Hou, Characterizing isomorphisms betweenstandard operator algebras by spectral functions, J. Oper. Theo.54 (2005), 291–303.I (675) Z. Bai, J. Hou and S. Du, Additive maps preserving rank-one operators on nest algebras, Linear and Multilinear Algebra58 (2010), 269–283.I (676) A. Blanco and A. Turnsek, On maps that preserve orthog-onality in normed spaces, Proc. Roy. Soc. Edinb. 136 (2006),709–716.I (677) J.T. Chan, C.K. Li and N.S. Sze, Mappings on Matrices:Invariance of Functional Values of Matrix Products, J. Austral.Math. Soc. 81 (2006), 165–184.I (678) G. Chevalier, Lattice approach to Wigner-type theorems,Int. J. Theor. Phys. 44 (2005), 1905–1915.I (679) G. Chevalier, Wigner’s theorem and its generalizations,in Engesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (680) G. Chevalier, Wigner-type theorems for projections, Int.J. Theor. Phys. 47 (2008), 69–80.I (681) J. Cui, Linear maps leaving zeros of a polynomial invari-ant, Acta Math. Sinica 50 (2007), 493–496.I (682) J. Cui and J. Hou, Linear maps preserving indefiniteorthogonality on C∗-algebras, Chinese Ann. Math., Ser. A 25(2004), 437–444.I (683) J. Cui and J. Hou, Linear maps preserving elements an-nihilated by a polynomial XY −Y X†, Studia Math. 174 (2006),183–199.

75

I (684) J. Cui and J. Hou, A characterization of indefinite-unitary invariant linear maps and relative results, Northeast.Math. J. 22(2006), 89–98.I (685) J. Cui and J. Hou, Maps leaving functional values ofoperator products invariant, Linear Algebra Appl. 428 (2008),1649–1663.I (686) J. Cui, J. Hou and C-G. Park, Indefinite orthogonalitypreserving additive maps, Arch. Math. 83 (2004), 548–557.I (687) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity, Canad. J. Math. 62 (2010), 758–786.I (688) C. Dryzun and D. Avnir, Chirality measures for vectors,matrices, operators and functions, ChemPhysChem 12 (2011),197–205.I (689) H. Du and H.X. Cao, Generalization of Uhlhorn’s theo-rem, J. Yanan Univ. Nat. Sci. 24 (2005), 7–8.I (690) S.P. Du, J.C. Hou and Z.F. Bai, Additive maps preserv-ing similarity or asymptotic similarity on B(H), Linear andMultilinear Algebra 55 (2007), 209–218.I (691) A. Duma and C. Vladimirescu, Non-decomposable innerproduct spaces, Math. Sci. Res. J. 8 (2004), 67–84.I (692) A. Fosner, Automorphisms of the poset of upper trian-gular idempotent matrices, Linear and Multilinear Algebra 53(2005), 27–44.I (693) A. Fosner, Order preserving maps on the poset of up-per triangular idempotent matrices, Linear Algebra Appl. 403(2005), 248–262.I (694) A. Fosner, B. Kuzma, T. Kuzma, S.S. Sze, Maps pre-serving matrix pairs with zero Jordan product, Linear and Mul-tilinear Algebra 59 (2011), 507–529.I (695) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (696) K. He and J. Hou, A generalization of Wigners theorem,Acta Math. Sci. (Ser. A) 31 (2011), 1633-1636.I (697) K. He and J. Hou, A generalization of Uhlhorn’s versionof Wigners theorem, J. Math. Study 45 (2012), 107–114.I (698) K. He, Q. Yuan and J. Hou, Entropy-preserving maps onquantum states, Linear Algebra Appl. 467 (2015), 243–253.I (699) J. Hou, K. He and X. Qi, Characterizing sequential iso-morphisms on Hilbert-space effect algebras, J. Phys. A: Math.Theor. 43 (2010), 315206.I (700) J. Hou and L. Huang, Maps completely preserving idem-potents and maps completely preserving square-zero operators,Israel J. Math. 176 (2010), 363-380.

76

I (701) J. Hou, C.K. Li and N.C. Wong, Jordan isomorphismsand maps preserving spectra of certain operator products, StudiaMath. 184 (2008), 31–47.I (702) J. Hou, C.K. Li and N.C. Wong, Maps preserving thespectrum of generalized Jordan product of operators, Linear Al-gebra Appl. 432 (2010), 1049–1069.I (703) J. Hou and X. Zhang, Ring isomorphisms and linear oradditive maps preserving zero products on nest algebras, LinearAlgebra Appl. 387 (2004), 343–360.I (704) L. Huang, Y. Liu, Maps completely preserving commu-tativity and maps completely preserving Jordan zero-product,Linear Algebra Appl. 462 (2014), 233–249.I (705) L. Huang, Z.F. Lu and J.L. Li, Additive maps completelypreserving skew idempotency between standard operator alge-bras, Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal ofNorth University of China (Natural Science Edition) 32 (2011),71–73.I (706) L. Jian, K. He, Q. Yuan and F. Wang, On partially tracedistance preserving maps and reversible quantum channels, J.Applied Math. (2013), Article ID 474291, 5 pagesI (707) M. Jiao, Maps preserving commutativity up to a factor onstandard operator algebras, Journal of Mathematical Researchwith Applications 33 (2013), 708–716.I (708) B. Kuzma, Additive mappings preserving rank-one idem-potents, Acta Math. Sin. 21 (2005), 1399–1406.I (709) P. Legisa, Automorphisms of Mn partially ordered by thestar order, Linear Multilinear Alg. 54 (2006), 157–188.I (710) Gy. Maksa and Zs. Pales, Wigner’s theorem revisited,Publ. Math. (Debrecen) 81 (2012), 243–249.I (711) L. Rodman and P. Semrl, Orthogonality preserving bi-jective maps on real and complex projective spaces, Linear andMultilinear Alg. 54 (2006), 355–367.I (712) L. Rodman and P. Semrl, Orthogonality preserving bijec-tive maps on finite dimensional projective spaces over divisionrings, Linear and Multilinear Alg. 56 (2008), 647-664.I (713) L. Rodman and P. Semrl, Preservers of generalizedorthogonality on finite dimensional real vector and projectivespaces, Linear and Multilinear Alg. 57 (2009), 839–858.I (714) P. Semrl, Generalized symmetry transformations onquaternionic indefinite inner product spaces: An extension ofquaternionic version of Wigner’s theorem, Commun. Math.Phys. 242 (2003), 579–584.I (715) P. Semrl, Order-preserving maps on the poset of idem-potent matrices, Acta Sci. Math. (Szeged) 69 (2003), 481–490.

77

I (716) P. Semrl, Applying projective geometry to transforma-tions on rank one idempotents, J. Funct. Anal. 210 (2004),248–257.I (717) P. Semrl, Non-linear commutativity preserving maps,Acta Sci. Math. (Szeged) 71 (2005), 781–819.I (718) P. Semrl, Maps on idempotents, Studia Math. 169(2005), 21–44.I (719) P. Semrl, Maps on idempotent matrices over divisionrings, J. Algebra 298 (2006), 142–187.I (720) P. Semrl, Maps on matrix spaces, Linear Algebra Appl.413 (2006), 364–393.I (721) P. Semrl, Maps on matrix and operator algebras, Jahres-ber. Deutsch. Math.-Verein. 108 (2006), 91–103.I (722) P. Semrl, Maps on idempotent operators, Banach Cent.Publ. 75 (2007), 289–301.I (723) R. Simon, N. Mukunda, S. Chaturvedi and V. SrinivasanTwo elementary proofs of the Wigner theorem on symmetry inquantum mechanics, Phys. Lett. A 372 (2008), 6847–6852.I (724) A. Turnsek, On operators preserving James’ orthogonal-ity, Linear Algebra Appl. 407 (2005), 189–195.I (725) J. Xu, B. Zheng and H. Yao, Linear transformationsbetween multipartite quantum systems that map the set of tensorproduct of idempotent matrices into idempotent matrix set, J.Funct. Space Appl., to appear.I (726) H. Zhang and Y. Li, Jordan triple multiplicative maps onthe symmetric matrices, Lecture Notes in Computer Science,2011, Volume 6987/2011, 27–34.I (727) W. Zhang, J. Hou and X. Qi, Maps preserving periph-eral spectrum of generalized Jordan products of operators, ActaMath. Sin. 31 (2015), 953–972.I (728) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.

[65] L. Molnar and P. Semrl, Elementary operators on standard op-erator algebras, Linear and Multilinear Algebra 50 (2002), 315–319.I (729) D.A.A. Ahmed and R. Tribak, Additivity of elementarymaps on generalized matrix algebras, Journal of Algebra, Num-ber Theory: Advances and Applications 13 (2015), 1–12.I (730) R. An and J. Hou, Jordan elementary map on operatoralgebras, Adv. in Math. (China) 41 (2012), 63–72.I (731) X.H. Cheng and W. Jing, Additivity of maps on trian-gular algebras, Electr. J. Lin. Alg. 17 (2008), 597–615.

78

I (732) S.O. Kim and C. Park, Additivity of Jordan triple producthomomorphisms on generalized matrix algebras, Bull. KoreanMath. Soc. 50 (2013), 2027–2034.I (733) P. Li, Elementary maps on nest algebras, J. Math. Anal.Appl. 320 (2006), 174–191.I (734) P. Li and W. Jing, Jordan elementary maps on rings,Linear Algebra Appl. 382 (2004), 237–245.I (735) P. Li and F. Lu, Elementary operators on J -subspacelattice algebras, Bull. Austral Math. Soc. 68 (2003), 395–404.I (736) P. Li and F. Lu, Additivity of elementary maps on rings,Commun. Alg. 32 (2004), 3725-3737.I (737) P. Li and F. Lu, Additivity of Jordan elementary mapson nest algebras, Linear Algebra Appl. 400 (2005), 327–338.I (738) P. Li and F. Lu, Jordan elementary operators on J -subspace lattice algebras algebras, Linear Algebra Appl., 428(2008), 2675–2687.I (739) J. Qian and P. Li, Additivity of Lie maps on operatoralgebras, Bull. Korean Math. Soc. 44 (2007), 271–279.I (740) Y. Pang and W. Yang, Elementary operators on stronglydouble triangle subspace lattice algebras, Linear Algebra Appl.433 (2010), 1678-1685.I (741) W. Timmermann, Elementary operators on algebras ofunbounded operators, Acta Math. Hung. 107 (2005) 149–160.I (742) L. Wang, Additivity of Jordan triple elementary maps ontriangular algebras, J. Qingdao Univ. Nat. Sci. Ed. 33 (2012).I (743) Y. Wang, The additivity of multiplicative maps on rings,Commun. Algebra 37 (2009), 2351–2356.I (744) Y. Wang, Additivity of multiplicative maps on triangularrings, Linear Algebra Appl. 434 (2011), 625-635.I (745) M. Wei, J. Zhang, Elementary maps on triangular alge-bra, J. Northwest Univ. 45 (2009), 13–15.I (746) M. Wei M, J.H. Zhang, Jordan-triple elementary mapsand Jordan isomorphisms on triangular algebras, FangzhiGaoxiao Jichukexue Xuebao 22 (2009), 193–197.

[66] L. Molnar, Local automorphisms of operator algebras on Banachspaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.I (747) SH.A. Ayupov and K.K. Kudaybergenov, 2-local deriva-tions and automorphisms on B(H), J. Math. Anal. Appl. 395(2012), 15–18.I (748) S. Ayupov, K. Kudaybergenov and A. Alauadinova, 2-Local derivations on matrix algebras over commutative regularalgebras, Linear Algebra Appl. 439 (2013), 1294–1311.

79

I (749) SH.A. Ayupov, K.K. Kudaybergenov, B.O. Nurjanovand A.A. Alauadinov, Local and 2-local derivations on noncom-mutative Arens algebras, Math. Slovaca 64 (2014), 423–432.I (750) J. Bracic, Algebraic reflexivity for semigroups of opera-tors, Electr. J. Lin. Alg. 18 (2009), 745–760.I (751) M. Burgos, F.J. Fernandez-Polo, J.J. Garces andA.M. Peralta, A Kowalski-Slodkowski theorem for 2-local *-homomorphisms on von Neumann algebras, RACSAM, to ap-pear.I (752) M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Per-alta, 2-local triple homomorphisms on von Neumann algebrasand JBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (753) J.T. Chan, C.K. Li and N.S. Sze, Mappings on Matrices:Invariance of Functional Values of Matrix Products, J. Austral.Math. Soc. 81 (2006), 165–184.I (754) J.T. Chan, C.K. Li and N.S. Sze, Mappings preservingspectra of product of matrices, Proc. Amer. Math. Soc. 135(2007), 977–986.I (755) M.A. Chebotar, W.F. Ke, P.H. Lee and L.S. Shiao,On maps preserving certain algebraic properties, Canad. Math.Bull. 48 (2005), 355–369.I (756) L. Chen, F. Lu and T. Wang, Local and 2-local Liederivations of operator algebras on Banach spaces, Integr. Equ.Oper. Theory 77 (2013), 109–121.I (757) Z. Chen and D. Wang, 2-Local automorphisms of finite-dimensional simple Lie algebras, Linear Algebra Appl. 486(2015) 335–344.I (758) M. Dobovisek, B. Kuzma, G. Lesnjak, C.K. Li and T.Petek, Mappings that preserve pairs of operators with zero tripleJordan product, Linear Algebra Appl. 426 (2007), 255–279.I (759) A. Jimenez Vargas and M. Villegas Vallecillos, 2-localisometries on spaces of Lipschitz functions, Canad. Math. Bull.54 (2011), 680–692.I (760) S.O. Kim and J.S. Kim, Local automorphisms andderivations on Mn, Proc. Amer. Math. Soc. 132 (2004), 1389–1392.I (761) S.O. Kim and J.S. Kim, Local automorphisms andderivations on certain C∗-algebras, Proc. Amer. Math. Soc. 133(2005), 3303-3307.I (762) C.K. Li, P. Semrl and N.S. Sze, Maps preserving thenilpotency of products of operators, Linear Alg. Appl. 424(2007), 222-239.I (763) Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc.Edinburgh Math. Soc. 49 (2006), 701–708.

80

I (764) J.H. Liu and N.C. Wong, 2-local automorphisms of op-erator algebras, J. Math. Anal. Appl. 321 (2006), 741–750.I (765) F. Pop, On local representations of von Neumann alge-bras, Proc. Amer. Math. Soc. 132 (2004), 3569–3576.I (766) A.M. Peralta, A note on 2-local representations of C∗-algebras, Operators and Matrices, to appear.I (767) D. Wang, Q. Guan and D. Zhang, Local automorphismsof semisimple algebras and group algebras, Acta Math. Sci. 38(2011), 1600-1612.I (768) X. Wang, Local derivations of a matrix algebra over acommutative ring, J. Math. Res. Expo. 31 (2011), 781–790.I (769) J. Xie and F. Lu, A note on 2-local automorphisms ofdigraph algebras Linear Algebra Appl. 378 (2004), 93–98.I (770) J.H. Zhang and H.X. Li, 2-local derivations on digraphalgebras, Acta Math. Sin. 49 (2006), 1411–1416.

[67] L. Molnar and W. Timmermann, Isometries of quantum states,J. Phys. A: Math. Gen. 36 (2003), 267–273.I (771) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.I (772) K. He and J. Hou, Distance preserving maps and com-pletely distance preserving maps on the Schatten p-class, J.Shanxi Univ. Nat. Sci. Ed. 32 (2009), 502–506.I (773) K. He and J. Hou, A generalization of Uhlhorn’s versionof Wigners theorem, J. Math. Study 45 (2012), 107–114.I (774) K. He and Q. Yuan, Non-linear isometries on Schatten-pclass in atomic nest algebras, Abstr. Appl. Anal. Volume 2014,Article ID 810862.I (775) L. Jian, K. He, Q. Yuan and F. Wang, On partially tracedistance preserving maps and reversible quantum channels, J.Applied Math. (2013), Article ID 474291, 5 pagesI (776) G. Nagy, Isometries on positive operators of unit norm,Publ. Math. (Debrecen) 82 (2013), 183–192.I (777) G. Nagy, Preservers for the p-norm of linear combina-tions of positive operators, Abstr. Appl. Anal., Volume 2014,Article ID 434121, 9 pages.I (778) P.B. Slater, Quantum and Fisher information from theHusimi and related distributions, J. Math. Phys. 47 (2006), Art.No. 022104.I (779) F. Ticozzi and L. Viola, Quantum information encoding,protection, and correctionfrom trace-norm isometries, Phys.Rev. A 81 (2010), 032313.

[68] L. Molnar, Preservers on Hilbert space effects, Linear AlgebraAppl. 370 (2003), 287–300.

81

I (780) H.K. Du, C.Y. Deng and Q.H. Li, On the infimum prob-lem of Hilbert space effects, Sci. China Ser. A 49 (2006), 545–556.I (781) W. Feldman, Lattice preserving maps on lattices of con-tinuous functions, J. Math. Anal. Appl. 404 (2013), 310–316.I (782) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (783) S. Gudder and F. Latremoliere, Characterization ofthe sequential product on quantum effects, J. Math. Phys. 49(2008), 052106.I (784) T. Heinosaari and M. Ziman, Guide to mathematical con-cepts of quantum theory, Acta Phys. Slov. 58 (2008), 487–674.I (785) J. Hou, K. He and X. Qi, Characterizing sequential iso-morphisms on Hilbert-space effect algebras, J. Phys. A: Math.Theor. 43 (2010), 315206.I (786) S.O. Kim, Automorphisms of Hilbert space effect alge-bras, Linear Algebra Appl. 402 (2005), 193–198.I (787) J. Marovt, Order preserving bijections of C(X , I), J.Math. Anal. Appl. 311 (2005), 567–581.I (788) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.I (789) J. Marovt, Order preserving bijections of C+(X), Tai-wanese J. Math. 14 (2010), 667–673.I (790) L. Yuan and H.K. Du, A note on the infimum problem ofHilbert space effects, J. Math. Phys. 47 (2006), Art. No. 102103.I (791) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (792) Q. Yuan and K. He, Generalized Jordan semitriple mapson Hilbert space effect algebras, Adv. Math. Phys., Volume2014, Article ID 216713, 5 pages.

[69] L. Molnar and M. Barczy, Linear maps on the space of allbounded observables preserving maximal deviation, J. Funct.Anal. 205 (2003), 380–400.I (793) M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (794) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (795) J. Hamhalter, Linear maps preserving maximal deviationand the Jordan structure of quantum systems, J. Math. Phys.53 (2012), 122208.

82

I (796) G. Nagy, Isometries of the spaces of self-adjoint tracelessoperators, Linear Algebra Appl. 484 (2015), 1–12.

[70] L. Molnar and E. Kovacs, An extension of a characterization ofthe automorphisms of Hilbert space effect algebras, Rep. Math.Phys. 52 (2003), 141–149.I (797) G. Dolinar, A. Guterman and J. Marovt, Monotonetransformations on B(H) with respect to the left-star and theright-star order, Math. Inequal. Appl. 17 (2014), 573–589.I (798) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.I (799) P. Semrl, Comparability preserving maps on Hilbert spaceeffect algebras, Comm. Math. Phys. 313 (2012), 375–384.I (800) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.

[71] L. Molnar, Sequential isomorphisms between the sets of vonNeumann algebra effects, Acta Sci. Math. (Szeged) 69 (2003),755–772.I (801) J. Araujo, Multiplicative bijections of semigroups ofinterval-valued continuous functions, Proc. Amer. Math. Soc.,137 (2009), 171–178.I (802) F. Cabello Sanchez, J. Cabello Sanchez, Z. Ercan andS. Onal, Memorandum on multiplicative bijections and order,Semigroup Forum 79 (2009), 193–209.I (803) W. Feldman, Lattice preserving maps on lattices of con-tinuous functions, J. Math. Anal. Appl., to appear.I (804) D.J. Foulis, Square roots and inverses in E-rings, Rep.Math. Phys. 58 (2006), 357–373.I (805) J. Marovt, Order preserving bijections of C(X , I), J.Math. Anal. Appl. 311 (2005), 567–581.I (806) J. Marovt, Multiplicative bijections of C(X , I), Proc.Amer. Math. Soc. 134 (2006), 1065–1075.I (807) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.I (808) J. Marovt, Order preserving bijections of C+(X), Tai-wanese J. Math. 14 (2010), 667–673.I (809) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (810) H. Zhang and X. Wang, Local E-automorphisms on effectalgebras, Pure Math. 2 (2012), 152–155.

[72] E. Kovacs and L. Molnar, Preserving some numerical corre-spondences between Hilbert space effects, Rep. Math. Phys. 54(2004), 201–209.

83

I (811) J. Marovt, Order preserving bijections of C(X , I), J.Math. Anal. Appl. 311 (2005), 567–581.I (812) J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.

[73] L. Molnar and P. Semrl, Non-linear commutativity preservingmaps on self-adjoint operators, Quart. J. Math., 56 (2005),589–595.I (813) Z. Bai and S. Du, Strong commutativity preserving mapson rings, Rocky Mountain J. Math. 44 (2014), 733–742.I (814) J. Cui, Q. Li, J. Hou and X. Qi, Some unitary similarityinvariant sets preservers of skew Lie products, Linear AlgebraAppl. 457 (2014), 76–92.I (815) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity, Canad. J. Math. 62 (2010), 758–786.I (816) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity on self-adjoint operators, J. Math. Anal. Appl.364 (2010), 567–575.I (817) A. Fosner, Non-linear commutativity preserving maps onMn(R), Linear and Multilinear Algebra 53 (2005), 323–344.I (818) A. Fosner, Non-linear commutativity preserving maps onsymmetric matrices, Publ. Math. (Debrecen), 71 (2007), 375–396.I (819) A. Fosner, A note on commutativity preservers on realmatrices, Proceedings of the 5th Asian Mathematical Confer-ence, Malaysia 2009, pp. 373–379.I (820) Gy.P. Geher, Maps on real Hilbert spaces preserving thearea of parallelograms and a preserver problem on self-adjointoperators, J. Math. Anal. Appl. 422 (2015), 1402–1413.I (821) Gy. P. Geher and G. Nagy, Maps on classes of Hilbertspace operators preserving measure of commutativity, Linear Al-gebra Appl. 463 (2014), 205–227.I (822) K. He and J. Hou, Non-linear maps on self-adjoint op-erators preserving numerical radius and numerical range of Lieproduct, Linear Multilinear Alg., to appear.I (823) L. Huang, Y. Liu, Maps completely preserving commu-tativity and maps completely preserving Jordan zero-product,Linear Algebra Appl. 462 (2014), 233–249.I (824) G. Ji and Y. Gao, Maps preserving operator pairs whoseproducts are projections, Linear Algebra Appl. 433 (2010),1348–1364.I (825) P.K. Liau, W.L. Huang and C.K. Liu, Nonlinear strongcommutativity preserving maps on skew elements of prime ringswith involution, Linear Algebra Appl. 436 (2012), 3099-3108.

84

I (826) J.S Lin and C.K Liu, Strong commutativity preservingmaps in prime rings with involution, Linear Algebra Appl. 432(2010), 14–23.I (827) L. Liu, Strong commutativity preserving maps on vonNeumann algebras, Linear Multilinear Alg. 63 (2015), 490–496.I (828) G. Nagy, Commutativity preserving maps on quantumstates, Rep. Math. Phys. 63 (2009), 447–464.I (829) X.F. Qi and J.C. Hou, Nonlinear strong commutativitypreserving maps on prime rings, Comm. Algebra 38 (2010),2790–2796.I (830) X.F. Qi and J.C. Hou, Strong commutativity preservingmaps on triangular rings, Oper. Matrices 6 (2012), 147–158.I (831) F.J. Zhang, Nonlinear strong *-commutativity preserv-ing maps on factor von Neumann algebras, Fangzhi GaoxiaoJichukexue Xuebao 25 (2012), 21–24.I (832) J.H. Zhang and F.J. Zhang, Nonlinear maps preservingLie products on factor von Neumann algebras, Linear AlgebraAppl. 429 (2008), 18–30.I (833) X. Zhang, X.M. Tang and C.G. Cao, Preserver Problemson Spaces of Matrices, Science Press, Beijing, 2007.

[74] L. Molnar, A remark to the Kochen-Specker theorem and somecharacterizations of the determinant on sets of Hermitian ma-trices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.I (834) M. Dobovisek, Maps from Mn(F) to F that are mul-tiplicative with respect to Jordan triple product, Publ. Math.(Debrecen) 73 (2008), 89–100.I (835) E. Gselmann, Jordan triple mappings on positive de?nitematrices, Aeq. Math., to appear.I (836) B. Kolodziejek, The Lukacs-Olkin-Rubin theorem onsymmetric cones through Gleason’s theorem, Studia Math. 217(2013), 1–17.I (837) B. Kolodziejek, Multiplicative Cauchy functional equa-tion on symmetric cones, Aequat. Math. 89 (2015), 1075–1094.I (838) B. Kolodziejek, Lukacs-Olkin-Rubin theorem on sym-metric cones without invariance of the ”quotient”, J. Theor.Probab., to appear.

[75] L. Molnar and W. Timmermann, Transformations on the sets ofstates and density operators, Linear Algebra Appl. 418 (2006),75–84.I (839) J. Marovt, Order preserving bijections of C+(X), Tai-wanese J. Math. 14 (2010), 667–673.

85

[76] L. Molnar, Non-linear Jordan triple automorphisms of sets ofself-adjoint matrices and operators, Studia Math. 173 (2006),39–48.I (840) J. Qian and P. Li, Additivity of Lie maps on operatoralgebras, Bull. Korean Math. Soc. 44 (2007), 271–279.I (841) P. Semrl Symmetries on bounded observables - a unifiedapproach based on adjacency preserving maps, Integral Equa-tions Operator Theory 72 (2012), 7-66.

[77] L. Molnar, Multiplicative Jordan triple isomorphisms on theself-adjoint elements of von Neumann algebras, Linear AlgebraAppl. 419 (2006), 586–600.I (842) P. Ji, W. Qi, Z. Qin, Multiplicative Jordan triple isomor-phisms on Jordan algebras, J. Shandong Univ. Nat. Sci. Ed. 44(2009), 1–3.I (843) A. Taghavi, Additive mappings on C∗-algebras preservingabsolute values, Linear Multilinear Algebra 60 (2012), 33-38.I (844) A. Taghavi, Additive mappings on C∗-algebras sub-preserving absolute values of products, Journal of Inequalitiesand Applications 2012, Article ID 161, 6 p., electronic only(2012).

[78] L. Molnar, Selected Preserver Problems on Algebraic Structuresof Linear Operators and on Function Spaces, Lecture Notes inMathematics, Vol. 1895, p. 236, Springer, 2007.I (845) J. Alaminos, M. Bresar, J. Extremera and A.R. Villena,Maps preserving zero products, Studia Math. 193 (2009), 131–159.I (846) J. Alaminos, M. Bresar, J. Extremera and A.R. Villena,On bilinear maps determined by rank one idempotents, LinearAlgebra Appl. 432 (2009), 738–743.I (847) J. Alaminos, J. Extremera and A.R. Villena, Zero prod-uct preserving maps on Banach algebras of Lipschitz functions,J. Math. Anal. Appl. 369 (2010), 94–100.I (848) J. Alaminos, J. Extremera and A.R. Villena, Approxi-mately spectrum-preserving maps, J. Funct. Anal. 261 (2011),233–266.I (849) J. Alaminos, J. Extremera and A.R. Villena, Opera-tors shrinking the Arveson spectrum, Publ. Math. Debrecen 80(2012), 235–254.I (850) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (851) Z. Bai and S. Du, Strong commutativity preserving mapson rings, Rocky Mountain J. Math. 44 (2014), 733–742.

86

I (852) M. Bessenyei, Functional equations and finite groups ofsubstitutions, Amer. Math. Monthly 117 (2010), 921-927.I (853) M. Bohata and J. Hamhalter, Nonlinear maps on vonNeumann algebras preserving the star order, Linear MultilinearAlgebra 61 (2013), 998–1009.I (854) M. Bohata and J. Hamhalter, Star order on JBW alge-bras, J. Math. Anal. Appl. 417 (2014), 873–888.I (855) F. Botelho and J. Jamison, Algebraic reflexivity of sets ofbounded operators on vector valued Lipschitz functions, LinearAlgebra Appl. 432 (2010), 3337-3342.I (856) F. Botelho and J. Jamison, Homomorphisms on algebrasof Lipschitz functions, Studia Math. 199 (2010), 95–106.I (857) F. Botelho and T.S.S.R.K. Rao, On algebraic reflexivityof sets of surjective isometries between spaces of weak∗ contin-uous functions, J. Math. Anal. Appl. 432 (2015), 367–373.I (858) J. Bracic, Algebraic reflexivity for semigroups of opera-tors, Electr. J. Lin. Alg. 18 (2009), 745–760.I (859) M. Burgos, F.J. Fernndez-Polo, J.J. Garces, J.M.Moreno and A.M. Peralta, Orthogonality preservers in C*-algebras, JB*-algebras and JB*-triples, J. Math. Anal. Appl.348 (2008), 220-233.I (860) M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Per-alta, 2-local triple homomorphisms on von Neumann algebrasand JBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (861) F. Cabello Sanchez, Automorphisms of algebras ofsmooth functions and equivalent functions, Differ. Geom. Appl.30 (2012), 216-221.I (862) F. Cabello Sanchez, J. Cabello Sanchez, Z. Ercan andS. Onal, Memorandum on multiplicative bijections and order,Semigroup Forum 79 (2009), 193–209.I (863) J. Chmielinski, Orthogonality preserving property and itsUlam stability, in Functional Equations in Mathematical Anal-ysis, Springer Optimization and Its Applications, 2012, Volume52, Part 1, 33–58.I (864) S. Clark, C.K. Li and L. Rodman, Spectral radius pre-servers of products of nonnegative matrices, Banach J. Math.Anal. 2 (2008), 107-120.I (865) S. Dutta and T.S.S.R.K. Rao, Algebraic reflexivity ofsome subsets of the isometry group, Linear Algebra Appl. 429(2008), 1522–1527.I (866) A.B.A. Essaleh, M. Niazi and A.M. Peralta, Bilocal *-automorphisms of B(H) satisfying the 3-local property, Arch.Math. 104 (2015), 157–164.

87

I (867) D. Ethier, T. Lindberg, and A. Luttman, Polynomialidentification in uniform and operator algebras, Ann. Funct.Anal. 1 (2010), 105–122.I (868) J.S. Farsani, Zero products preserving maps from theFourier algebra of amenable groups, Bull. Belg. Math. Soc. Si-mon Stevin 21 (2014), 523–534.I (869) A. Fosner, Commutativity preserving maps on Mn(R),Glasnik Mat. 44 (2009), 127–140.I (870) A. Fosner, A note on commutativity preservers on realmatrices, Proceedings of the 5th Asian Mathematical Confer-ence, Malaysia 2009, pp. 373–379.I (871) A. Fosner, 2-local Jordan automorphisms on operator al-gebras, Studia Math. 209 (2012), 235–246.I (872) A. Fosner, 2-local mappings on algebras with involution,Ann. Funct. Anal. 5 (2014), 63–69.I (873) A. Fosner, Local generalized (α, β)-derivations, The Sci-entific World J. (2014), Article ID 805780, 5 pp.I (874) A. Fosner, B. Kuzma, T. Kuzma, S.S. Sze, Maps pre-serving matrix pairs with zero Jordan product, Linear and Mul-tilinear Algebra 59 (2011), 507–529.I (875) A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preserversand quantum information science, Linear Multilinear Algebra61 (2013), 1377–1390.I (876) A. Fosner, Z. Huang, C.K. Li, Y.T. Poon, N.S. Sze, Lin-ear maps preserving the higher numerical ranges of tensor prod-uct of matrices, Linear Multilinear Algebra 62 (2014), 776–791.I (877) M. Fosner and D. Ilisevic, Generalized bicircular projec-tions via rank preserving maps on the spaces of symmetric andantisymmetric operators, Oper. Matrices 5 (2011), 239-260.I (878) Gy. P. Geher and G. Nagy, Maps on classes of Hilbertspace operators preserving measure of commutativity, Linear Al-gebra Appl. 463 (2014), 205–227.I (879) J. Hamhalter, Linear maps preserving maximal deviationand the Jordan structure of quantum systems, J. Math. Phys.53 (2012), 122208.I (880) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.I (881) O. Hatori, S. Lambert, A. Luttman, T. Miura, T. Tonev,and R. Yates Spectral preservers in commutative Banach alge-bras, in Function Spaces in Modern Analysis, K. Jarosz, Edt.Contemporary Mathematics vol. 547, American MathematicalSociety, 2011, pp. 103–124.I (882) K. He, F. Sun and J. Hou, Separability of sequentialisomorphisms on quantum effects in multipartite systems, J.Phys. A: Math. Theor. 48 (2015), 075302 (9pp).

88

I (883) K. He, Q. Yuan and J. Hou, Entropy-preserving maps onquantum states, Linear Algebra Appl. 467 (2015), 243–253.I (884) C. Heunen and C. Horsman, Matrix multiplication is de-termined by orthogonality and trace, Linear Algebra Appl. 439(2013), 4130–4134.I (885) Z. Huang, Weakening the conditions in some classicaltheorems on linear preserver problems, Linear Multilinear Alg.,to appear.I (886) A.T. Jelodar, M.S. Moslehian and A. Sanami, A ternarycharacterization of automorphisms of B(H), Nihonkai Math. J.21 (2010), 1–9.I (887) G.K. Kumar and S.H. Kulkarni, Linear maps preservingpseudospectrum and condition spectrum, Banach J. Math. Anal.6 (2012), 45-60.I (888) D.L.W. Kuo, M.C. Tsai, N.C. Wong and J. Zhang, Mapspreserving Schatten p-norms of convex combinations, Abstr.Appl. Anal. (2014), Article ID 520795, 5 pp.I (889) C.W Leung, C.K. Ng and N.C. Wong, Linear orthogo-nality preservers of Hilbert C∗-modules, J. Operator Theory 71(2014), 571–584.I (890) C.K. Li and L. Rodman, Preservers of spectral radius,numerical radius, or spectral norm of the sum on nonnegativematrices, Linear Algebra Appl. 430 (2009), 1739–1761.I (891) C.K. Li, P. Semrl, L. Plevnik, Preservers of matrix pairswith a fixed inner product value, Oper. Matrices 6 (2012), 433–464.I (892) J. Marovt, Order preserving bijections of C+(X), Tai-wanese J. Math. 14 (2010), 667–673.I (893) M. Mbekhta, V. Mller and M. Oudghiri, Additive pre-servers of the ascent, descent and related subsets, J. OperatorTheory 71 (2014), 63–83.I (894) T. Miura, D. Honma A generalization of peripherally-multiplicative surjections between standard operator algebras,Cent. Eur. J. Math. 7 (2009), 479–486.I (895) G. Nagy, Commutativity preserving maps on quantumstates, Rep. Math. Phys. 63 (2009), 447–464.I (896) G. Nagy, Isometries on positive operators of unit norm,Publ. Math. (Debrecen) 82 (2013), 183–192.I (897) G. Nagy, Preservers for the p-norm of linear combina-tions of positive operators, Abstr. Appl. Anal., Volume 2014,Article ID 434121, 9 pages.I (898) V. Pavlovic, Remarks and comments on some recent re-sults, Filomat 29 (2015), 1039–1041.I (899) A.M. Peralta, A note on 2-local representations of C∗-algebras, Operators and Matrices, to appear.

89

I (900) P. Semrl, Comparability preserving maps on bounded ob-servables, Integral Equations Operator Theory 62 (2008), 441–454.I (901) P. Semrl, Local automorphisms of standard operator al-gebras, J. Math. Anal. Appl. 371 (2010), 403–406.I (902) P. Semrl Symmetries on bounded observables - a unifiedapproach based on adjacency preserving maps, Integral Equa-tions Operator Theory 72 (2012), 7-66.I (903) P. Semrl, Comparability preserving maps on Hilbert spaceeffect algebras, Comm. Math. Phys. 313 (2012), 375–384.I (904) P. Semrl and A.R. Sourour, Order preserving maps onhermitian matrices, J. Austral. Math. Soc. 95 (2013), 129–132.I (905) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (906) P. Semrl Automorphisms of Hilbert space effect algebras,J. Phys. A: Math. Theor. 48 (2015) 195301.I (907) E. Størmer, Positive Linear Maps of Operator Algebras,Springer-Verlag, Berlin Heidelberg, 2013.I (908) A. Tajmouati and A. El Bakkali, Linear maps preservingthe Kato spectrum, Int. Journal of Math. Analysis 6 (2012),253–263.I (909) T. Tonev, Weak multiplicative operators on function al-gebras without units, Banach Cent. Publ. 91 (2010), 411–421.I (910) T. Tonev and A. Luttman, Algebra isomorphisms be-tween standard operator algebras, Studia Math. 191 (2009),163–170.I (911) T. Tonev and R. Yates, Norm-linear and norm-additiveoperators between uniform algebras, J. Math. Anal. Appl. 357(2009), 45–53.I (912) J. Xu, B. Zheng and A. Fosner, Linear maps preservingtensor product of rank-one Hermitian matrices, J. Aust. Math.Soc. 98 (2015), 407–428.I (913) L. Yang, W. Zhang and J. Xu, Linear maps on upper tri-angular matrices spaces preserving idempotent tensor products,Abstr. Appl. Anal. (2014), Article ID 148321, 8 pagesI (914) Q. Yuan and K. He, Generalized Jordan semitriple mapson Hilbert space effect algebras, Adv. Math. Phys., Volume2014, Article ID 216713, 5 pages.I (915) B. Zheng, J. Xu nd A. Fosner, Linear maps preservingidempotents of tensor products of matrices, Linear Alg. Appl.470 (2015), 25–39.I (916) B. Zheng, J. Xu nd A. Fosner, Linear maps preservingrank of tensor products of matrices, Linear Multilinear Alg. 63(2015), 366–376.

90

[79] L. Molnar and P. Semrl, Elementary operators on self-adjointoperators, J. Math. Anal. Appl. 327 (2007), 302–309.I (917) D.J. Keckic Cyclic kernels of elementary operators on areflexive Banach space, Linear Algebra Appl. 438 (2013), 2628–2633.I (918) Y. Pang and W. Yang, Elementary operators on stronglydouble triangle subspace lattice algebras, Linear Algebra Appl.433 (2010), 1678-1685.

[80] L. Molnar and W. Timmermann, Mixture preserving maps onvon Neumann algebra effects, Lett. Math. Phys. 79 (2007), 295–302.I (919) K. He, J. Hou and C.K. Li, A geometric characterizationof invertible quantum measurement maps, J. Funct. Anal. 264(2013), 464–478.I (920) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.

[81] L. Molnar and P. Semrl, Spectral order automorphisms of thespaces of Hilbert space effects and observables, Lett. Math.Phys. 80 (2007), 239–255.I (921) M. Bohata, Star order on operator and function algebras,Publ. Math. Debrecen 79 (2001), 211–229.I (922) J.L. Cui, Nonlinear preserver problems on B(H), ActaMath. Sin. 27 (2011), 193–202.I (923) E. Turilova, Automorphisms of spectral lattices of un-bounded positive operators, Lobachevskii J. Math. 35 (2014),259–263.I (924) E. Turilova, Automorphisms of spectral lattices of positivecontractions on von Neumann algebras, Lobachevskii J. Math.35 (2014), 355–359.

[82] G. Dolinar and L. Molnar, Maps on quantum observables pre-serving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.I (925) M. Bohata, Star order on operator and function algebras,Publ. Math. Debrecen 79 (2001), 211–229.I (926) M. Bohata and J. Hamhalter, Nonlinear maps on vonNeumann algebras preserving the star order, Linear MultilinearAlgebra 61 (2013), 998–1009.I (927) M. Bohata and J. Hamhalter, Star order on JBW alge-bras, J. Math. Anal. Appl. 417 (2014), 873–888.I (928) J.L. Cui, Nonlinear preserver problems on B(H), ActaMath. Sin. 27 (2011), 193–202.I (929) X. Fang, N.S. Sze and X.M. Xu, The Cuntz comparisonin the standard C∗-algebra, Abstr. Appl. Anal. 2014, ArticleID 623520, 4 pages.

91

[83] L. Molnar, Isometries of the spaces of bounded frame functions,J. Math. Anal. Appl. 338 (2008), 710–715.I (930) K. He and Q. Yuan, Non-linear isometries on Schatten-pclass in atomic nest algebras, Abstr. Appl. Anal. Volume 2014,Article ID 810862.

[84] L. Molnar, Maps on states preserving the relative entropy, J.Math. Phys. 49 (2008), 032114.I (931) Z. Bai and S. Du, Characterization of sum automor-phisms and Jordan triple automorphisms of quantum probabilis-tic maps, J. Phys. A: Math. Theor. 43 (2010), 165210.I (932) K. He, Q. Yuan and J. Hou, Entropy-preserving maps onquantum states, Linear Algebra Appl. 467 (2015), 243–253.I (933) G. Ji and Y. Gao, Maps preserving operator pairs whoseproducts are projections, Linear Algebra Appl. 433 (2010),1348–1364.I (934) H. Shi, G. Ji, Maps preserving norms of Jordan productson the space of self-adjoint operators, J. Shandong Univ. Nat.Sci. Ed.45 (2010), 80–84.

[85] L. Molnar, Linear maps on matrices preserving commutativityup to a factor, Linear Multilinear Algebra 57 (2008), 13–18.I (935) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity, Canad. J. Math. 62 (2010), 758–786.I (936) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity on self-adjoint operators, J. Math. Anal. Appl.364 (2010), 567–575.I (937) G. Dolinar and B. Kuzma, General preservers of quasi-commutativity on Hermitian matrices, Electr. J. Lin. Alg. 17(2008), 436–444.I (938) M. Jiao, Maps preserving commutativity up to a factor onstandard operator algebras, Journal of Mathematical Researchwith Applications 33 (2013), 708–716.I (939) M. Jiao and X. Qi, Additive maps preserving commuta-tivity up to a factor on nest algebras, Linear Multilinear Alg.63 (2015), 1242–1256.I (940) P.K. Liau, W.L. Huang and C.K. Liu, Nonlinear strongcommutativity preserving maps on skew elements of prime ringswith involution, Linear Algebra Appl. 436 (2012), 3099-3108.I (941) C.K. Liu, Strong commutativity preserving generalizedderivations on right ideals, Monatsh. Math. 166 (2012), 453–465.I (942) C.K. Liu and P.K Liau, Strong commutativity preservinggeneralized derivations on Lie ideals, Linear Multilinear Alge-bra 59 (2011), 905–915.

92

I (943) H. Radjavi and P. Semrl, Linear maps preserving quasi-commutativity, Studia Math. 184 (2008), 191–204.

[86] L. Molnar and W. Timmermann, Maps on quantum statespreserving the Jensen-Shannon divergence, J. Phys. A: Math.Theor. 42 (2009), 015301.I (944) G. Nagy, Preservers for the p-norm of linear combina-tions of positive operators, Abstr. Appl. Anal., Volume 2014,Article ID 434121, 9 pages.

[87] L. Molnar, Maps preserving the geometric mean of positive op-erators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.I (945) F. Hiai and D. Petz, Introduction to Matrix Analysisand Applications, Springer and Hindustan Book Agance, NewDelhi, India 2014, 332 p.I (946) P. Semrl Symmetries on bounded observables - a unifiedapproach based on adjacency preserving maps, Integral Equa-tions Operator Theory 72 (2012), 7-66.I (947) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.I (948) P. Szokol, M.-C. Tsai and J. Zhang, Preserving problemsof geodesic-affine maps and related topics on positive definitematrices, Linear Algebra Appl. 483 (2015), 293–308.

[88] L. Molnar, Maps preserving the harmonic mean or the parallelsum of positive operators, Linear Algebra Appl. 430 (2009),3058–3065.I (949) P. Semrl Symmetries of Hilbert space effect algebras, J.Lond. Math. Soc. 88 (2013), 417–436.

[89] L. Molnar, Thompson isometries of the space of invertible posi-tive operators, Proc. Amer. Math. Soc. 137 (2009), 3849–3859.I (950) S. Cobzas and M.D. Rus, Normal cones and Thomp-son metric, Topics in Mathematical Analysis and ApplicationsSpringer Optimization and Its Applications Volume 94, 2014,pp 209-258.I (951) B. Lemmens and C. Walsh, Isometries of PolyhedralHilbert geometries, J. Topol. Anal. 3 (2011), 213–241.I (952) O. Hatori, Algebraic properties of isometries betweengroups of invertible elements in Banach algebras, J. Math. Anal.Appl. 376 (2011) 84-93.I (953) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.I (954) O. Hatori, K. Kobayashi, T. Miura and S.E. Takahasi,Reflections and a generalization of the Mazur-Ulam theorem,Rocky Mountain J. Math. 42 (2012), 117–150.

93

I (955) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.

[90] L. Molnar, Linear maps on observables in von Neumann alge-bras preserving the maximal deviation, J. London Math. Soc.81 (2010), 161–174.I (956) J. Hamhalter, Linear maps preserving maximal deviationand the Jordan structure of quantum systems, J. Math. Phys.53 (2012), 122208.I (957) Z. Leka, A note on central moments in C∗-algebras, J.Math. Ineq. 9 (2015), 165–175.I (958) M.A. Rieffel, Standard deviation is a strongly Leibnizseminorm, New York J. Math., 20 (2014), 35–56.

[91] L. Molnar and G. Nagy, Thompson isometries on positive oper-ators: the 2-dimensional case, Electron. J. Lin. Alg. 20 (2010),79–89.I (959) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.I (960) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.

[92] L. Molnar and P. Szokol, Maps on states preserving the relativeentropy II, Linear Algebra Appl., 432 (2010), 3343–3350.I (961) K. He, Q. Yuan and J. Hou, Entropy-preserving maps onquantum states, Linear Algebra Appl. 467 (2015), 243–253.I (962) L. Jian, K. He, Q. Yuan and F. Wang, emphOn par-tially trace distance preserving maps and reversible quantumchannels, J. Applied Math. (2013), Article ID 474291, 5 pagesI (963) Y. Li and P. Busch, Von Neumann entropy and majoriza-tion, J. Math. Anal. Appl. 408 (2013), 384–393.I (964) A. Sanami, A characterization of the Helmholtz free en-ergy, J. Math. Phys. 54 (2013), 053301.I (965) A. Sanami, A characterization of the entropy-Gibbstransformations, Iran. J. Math. Chem. 5 (2014), 69–75.I (966) X. Xia, Y. Jin, Y. Shang and L. Chen, Improved relative-entropy method for eccentricity filtering in roundness measure-ment based on information optimization, Research Journal ofApplied Sciences, Engineering and Technology (RJASET) 5(2013), 4649–4655.

[93] L. Molnar, Kolmogorov-Smirnov isometries and affine automor-phisms of spaces of distribution functions, Cent. Eur. J. Math.9 (2011), 789–796.

94

I (967) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.

[94] L. Molnar and W. Timmermann, Transformations on boundedobservables preserving measure of compatibility, Int. J. Theor.Phys. 50 (2011), 3857–3863.I (968) Gy.P. Geher, Maps on real Hilbert spaces preserving thearea of parallelograms and a preserver problem on self-adjointoperators, J. Math. Anal. Appl. 422 (2015), 1402–1413.I (969) Gy. P. Geher and G. Nagy, Maps on classes of Hilbertspace operators preserving measure of commutativity, Linear Al-gebra Appl. 463 (2014), 205–227.I (970) L. Huang, Y. Liu, Maps completely preserving commu-tativity and maps completely preserving Jordan zero-product,Linear Algebra Appl. 462 (2014), 233–249.

[95] L. Molnar and P. Semrl, Transformations of the unitary groupon a Hilbert space, J. Math. Anal. Appl. 388 (2012), 1205–1217.I (971) A. Bourhim, M. Mabrouk, Maps preserving the localspectrum of Jordan product of matrices, Linear Algebra Appl.484 (2015), 379–395.I (972) A. Bourhim, J. Mashreghi, and A. Stepanyan, Maps pre-serving the local spectrum of triple product of operators, LinearMultilinear Algebra 63 (2015), 765–773.I (973) Gy. P. Geher and G. Nagy, Maps on classes of Hilbertspace operators preserving measure of commutativity, Linear Al-gebra Appl. 463 (2014), 205–227.I (974) O. Hatori, Isometries on the spetial unitary group, inFunction Spaces in Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 645, American Mathematical Society, 2015,pp. 119–134.

[96] L. Molnar and G. Nagy, Isometries and relative entropy pre-serving maps on density operators, Linear Multilinear Algebra60 (2012), 93–108.I (975) O. Hatori, Isometries of the unitary groups in C∗-algebras, Studia Math. 221 (2014), 61–86.

[97] O. Hatori and L. Molnar, Isometries of the unitary group, Proc.Amer. Math. Soc. 140 (2012), 2141–2154.I (976) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.

95

[98] O. Hatori, G. Hirasawa, T. Miura and L. Molnar, Isometriesand maps compatible with inverted Jordan triple products ongroups, Tokyo J. Math. 35 (2012), 385–410.I (977) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.

[99] F. Botelho, J. Jamison and L. Molnar, Surjective isometries onGrassmann spaces, J. Funct. Anal. 265 (2013), 2226–2238.I (978) Gy.P. Geher, An elementary proof for the non-bijectiveversion of Wigner?s theorem, Phys. Lett. A 378 (2014), 2054–2057.I (979) G. Nagy, Isometries of the spaces of self-adjoint tracelessoperators, Linear Algebra Appl. 484 (2015), 1–12.

[100] L. Molnar, Jordan triple endomorphisms and isometries of uni-tary groups, Linear Algebra Appl. 439 (2013), 3518–3531.I (980) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.I (981) O. Hatori, Isometries on the spetial unitary group, inFunction Spaces in Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 645, American Mathematical Society, 2015,pp. 119–134.

[101] O. Hatori and L. Molnar, Isometries of the unitary groups andThompson isometries of the spaces of invertible positive ele-ments in C∗-algebras, J. Math. Anal. Appl. 409 (2014), 158–167.I (982) S. Cobzas and M.D. Rus, Normal cones and Thomp-son metric, Topics in Mathematical Analysis and ApplicationsSpringer Optimization and Its Applications Volume 94, 2014,pp 209-258.I (983) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.I (984) P. Szokol, M.-C. Tsai and J. Zhang, Preserving problemsof geodesic-affine maps and related topics on positive definitematrices, Linear Algebra Appl. 483 (2015), 293–308.

[102] L. Molnar, Bilocal *-automorphisms of B(H), Arch. Math. 102(2014), 83–89.I (985) C. Costara,Automatic continuity for linear surjectivemaps compressing the point spectrum, Oper. Matrices 9 (2015),401–405.

96

I (986) A.B.A. Essaleh, M. Niazi and A.M. Peralta, Bilocal *-automorphisms of B(H) satisfying the 3-local property, Arch.Math. 104 (2015), 157–164.I (987) A. Ben Ali Essaleh, A.M. Peralta, M.I. Ramırez, Weak-local derivations and homomorphisms on C*-algebras, LinearMultilinear Alg., to appear.

[103] L. Molnar and G. Nagy, Transformations on density operatorsthat leave the Holevo bound invariant, Int. J. Theor. Phys. 53(2014), 3273–3278.I (988) K. He, Q. Yuan and J. Hou, Entropy-preserving maps onquantum states, Linear Algebra Appl. 467 (2015), 243–253.

[104] L. Molnar, Jordan triple endomorphisms and isometries ofspaces of positive definite matrices, Linear Multilinear Alg. 63(2015), 12–33.I (989) S. Honma and T. Nogawa, Isometries of the geodesicdistances for the space of invertible positive operators and ma-trices, Linear Algebra Appl. 444 (2014), 152–164.

[105] L. Molnar, P. Semrl and A.R. Sourour, Bilocal automorphisms,Oper. Matrices 9 (2015), 113–120.I (990) C. Costara,Automatic continuity for linear surjectivemaps compressing the point spectrum, Oper. Matrices 9 (2015),401–405.

[106] L. Molnar, Preserver Problems on Algebraic Structures of Lin-ear Operators and on Function Spaces, Dissertation for theD.Sc. degree of the Hungarian Academy of Sciences, 241 pages,2004.I (991) F. Cabello Sanchez, Local isometries on spaces of con-tinuous functions, Math. Z. 251 (2005), 735–749.I (992) O. Hatori, T. Miura, H. Oka and H. Takagi, 2-localisometries and 2-local automorphisms on uniform algebras, Int.Math. Forum 2 (2007), 2491–2502.I (993) T.S.S.R.K. Rao, Some generalizations of Kadison’s the-orem: A survey, Extracta Math. 19 (2004), 319–334.I (994) T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc.Amer. Math. Soc. 133 (2005), 2729-2732.

97

LIST OF INDEPENDENT CITATIONS

(without self- or co-authors’ citations)

ordered according to the citing work

[1] Z. Abdelali, A. Achchi and R. Marzouki, Maps preservingthe local spectrum ofskew-product of operators, Linear AlgebraAppl. 485 (2015), 58–71.I (1) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[2] T. Abe, S. Akiyama, and O. Hatori, Isometries of the specialorthogonal group, Linear Algebra Appl. 439 (2013), 174–188.I (2) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[3] D.A.A. Ahmed and R. Tribak, Additivity of elementary maps ongeneralized matrix algebras, Journal of Algebra, Number The-ory: Advances and Applications 13 (2015), 1–12.I (3) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (4) L. Molnar and P. Semrl, Elementary operators on standardoperator algebras, Linear and Multilinear Algebra 50 (2002),315–319.

[4] A. Aizpuru and F. Rambla, There’s something about the diam-eter, J. Math. Anal. Appl. 330 (2007), 949–962.I (5) M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310.

[5] A. Aizpuru and F. Rambla, Diameter preserving linear bijec-tions and C0(L) spaces, Bull. Belgian Math. Soc. 17 (2010),377–383.I (6) M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310.

[6] A. Aizpuru and M. Tamayo, On diameter preserving linearmaps, J. Korean Math. Soc. 45 (2008), 197–204.I (7) M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310.

[7] A. Aizpuru and M. Tamayo, Linear bijections which preservethe diameter of vector-valued maps, Linear Algebra Appl. 424(2007), 371–377.

98

I (8) M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310.

[8] J. Alaminos, M. Bresar, J. Extremera and A.R. Villena, Mapspreserving zero products, Studia Math. 193 (2009), 131–159.I (9) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[9] J. Alaminos, M. Bresar, J. Extremera and A.R. Villena, Onbilinear maps determined by rank one idempotents, Linear Al-gebra Appl. 432 (2009), 738–743.I (10) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[10] J. Alaminos, J. Extremera and A.R. Villena, Zero product pre-serving maps on Banach algebras of Lipschitz functions, J.Math. Anal. Appl. 369 (2010), 94–100.I (11) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[11] J. Alaminos, J. Extremera and A.R. Villena, Approximatelyspectrum-preserving maps, J. Funct. Anal. 261 (2011), 233–266.I (12) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[12] J. Alaminos, J. Extremera and A.R. Villena, Operators shrink-ing the Arveson spectrum, Publ. Math. Debrecen 80 (2012),235–254.I (13) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[13] H. Al-Halees and R.J. Fleming, On 2-local isometries on con-tinuous vector-valued function spaces, J. Math. Anal. Appl. 354(2009), 70-77.I (14) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (15) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.

99

I (16) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (17) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

[14] S. Ali and N.A. Dar, On left centralizers of prime rings withinvolution, Palestine Journal of Mathematics 3 (2014), 505–511.I (18) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[15] S. Ali and C. Haetinger, On Jordan α-centralizers in rings andsome applications, Bol. Soc. Paran. Mat. 26 (2008), 71–80.I (19) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[16] G. An and J. Hou, Characterizations of isomorphisms by mul-tiplicative maps on operator algebras, Northeast. Math. J. 17(2001), 438–448.I (20) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (21) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[17] G. An and J. Hou, Rank-preserving multiplicative maps onB(X), Linear Algebra Appl. 342 (2002), 59–78.I (22) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (23) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[18] G. An and J. Hou, Multiplicative maps on matrix algebras, J.Shanxi Teacher’s Univ. Nat. Sci. Ed. 16 (2002), 1–4.I (24) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (25) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[19] R.L. An and J.C. Hou, Characterizations of Jordan †-skew mul-tiplicative maps on operator algebras of indefinite inner productspaces, Chinese Ann. Math. 26 (2005), 569–582.

100

I (26) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (27) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[20] R.L. An and J.C. Hou, Additivity of Jordan multiplicative mapson Jordan operator algebras, Taiwanese J. Math. 10 (2006), 45–64.I (28) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (29) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[21] R.L. An and. J.C. Hou, A characterization of *-automorphismon B(H), Acta Math. Sin. 26 (2010), 287–294.I (30) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (31) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[22] R. An and J. Hou, Characterizations of Lie-skew multiplicativemaps on operator algebras of indefinite inner product spaces,Publ. Math. (Debrecen) 77 (2010), 101–113.I (32) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[23] R. An and J. Hou, Jordan elementary map on operator algebras,Adv. in Math. (China) 41 (2012), 63–72.I (33) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (34) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[24] R.L. An and J.C. Hou, Jordan ring isomorphism on the spaceof symmetric operators, Acta Math. Sin. 55 (2012), 991–1000.I (35) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

101

I (36) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[25] R. An, C. Xue and J. Hou, Equivalent characterization ofderivations on operator algebras, Linear Multilinear Algebra,to appear.I (37) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[26] P. Ara and M. Mathieu, Local multipliers of C*-algebras,Springer Monographs in Mathematics. Springer-Verlag, Lon-don, 2003.I (38) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.

[27] J. Araujo, Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity, Adv.Math. 187 (2004), 488-520.I (39) L. Molnar, On rings of differentiable functions, GrazerMath. Ber. 327 (1996), 13–16.

[28] J. Araujo, Multiplicative bijections of semigroups of interval-valued continuous functions, Proc. Amer. Math. Soc., 137(2009), 171–178.I (40) L. Molnar, Sequential isomorphisms between the sets ofvon Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.

[29] J. Araujo and K. Jarosz, Biseparating maps between operatoralgebras, J. Math. Anal. Appl. 282 (2003), 48–55.I (41) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[30] M. Ashraf and S. Ali, On (α, β)∗-derivations in H∗-algebras,Adv. Algebra 2 (2009), 23–31.I (42) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[31] S. Artstein-Avidan and B. A. Slomka, Order isomorphisms incones and a characterization of duality for ellipsoids, Sel. Math.New Ser. 18 (2012), 391–415.I (43) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.

102

[32] M. Ashraf and M.R. Mozumder, On Jordan α∗-centralizers insemiprime rings with involution, Int. J. Contemp. Math. Sci-ences 7 (2012), 1103–1112.I (44) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[33] M. Ashraf, N. Rehman, S. Ali and M.R. Mozumder, On gen-eralized (θ, φ)-derivations in semiprime rings with involution,Math. Slovaca 62 (2012), 451–460.I (45) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[34] M.J. Atteya, On generalized derivations of semiprime rings,Int. J. Algebra 4 (2010), 591–598.I (46) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[35] M.J. Atteya, A note on generalized Jordan derivations insemiprime rings, Mathematics and Statistics 3 (2015), 7–9.I (47) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[36] M.J. Atteya and D.I. Resan, Commuting derivations ofsemiprime rings, Int. J. Contemp. Math. Sciences 6 (2011),1151–1158.I (48) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[37] SH.A. Ayupov and K.K. Kudaybergenov, 2-local derivationsand automorphisms on B(H), J. Math. Anal. Appl. 395 (2012),15–18.I (49) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[38] S. Ayupov, K. Kudaybergenov and A. Alauadinova, 2-Localderivations on matrix algebras over commutative regular alge-bras, Linear Algebra Appl. 439 (2013), 1294–1311.I (50) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[39] SH.A. Ayupov, K.K. Kudaybergenov, B.O. Nurjanov and A.A.Alauadinov, Local and 2-local derivations on noncommutativeArens algebras, Math. Slovaca 64 (2014), 423–432.I (51) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

103

[40] Z. Bai and S. Du, Characterization of sum automorphisms andJordan triple automorphisms of quantum probabilistic maps, J.Phys. A: Math. Theor. 43 (2010), 165210.I (52) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (53) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (54) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (55) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (56) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (57) L. Molnar, Maps on states preserving the relative entropy,J. Math. Phys. 49 (2008), 032114.

[41] Z. Bai and S. Du, Maps preserving products XY −Y X∗ on vonNeumann algebras, J. Math. Anal. Appl. 386 (2012), 103–109.I (58) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (59) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[42] I (1) Z. Bai and S. Du, Strong commutativity preserving mapson rings, Rocky Mountain J. Math. 44 (2014), 733–742.I (60) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (61) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[43] Z. Bai and J. Hou The additive maps on operator algebras, J.Shanxi Teacher’s Univ. Nat. Sci. Ed. 15 (2001), 1–6.I (62) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[44] Z. Bai and J. Hou, Linear maps and additive maps that preserveoperators annihilated by a polynomial, J. Math. Anal. Appl. 271(2002), 139–154.

104

I (63) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[45] Z. Bai and J. Hou, Additive maps preserving orthogonality orcommuting with |.|k, Acta Mathematica Sinica 45 (2002), 863–870.I (64) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[46] Z. Bai and J. Hou, Characterizing isomorphisms between stan-dard operator algebras by spectral functions, J. Oper. Theo. 54(2005), 291–303.I (65) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (66) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[47] Z. Bai, J. Hou and S. Du, Additive maps preserving rank-oneoperators on nest algebras, Linear and Multilinear Algebra 58(2010), 269–283.I (67) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.I (68) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[48] D. Bakic and B. Guljas, Operators on Hilbert H∗-modules, J.Operator Theory 46 (2001), 123–141.I (69) L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656.

[49] D. Bakic and B. Guljas, Hilbert C∗-modules over C∗-algebrasof compact operators, Acta Sci. Math. (Szeged) 68 (2002), 249–269.I (70) L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656.I (71) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

105

[50] D. Bakic and B. Guljas, Wigner’s theorem in Hilbert C∗-modules over C∗-algebras of compact operators, Proc. Amer.Math. Soc. 130 (2002), 2343–2349.I (72) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (73) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[51] D. Bakic and B. Guljas, Wigner’s theorem in a class of HilbertC∗-modules, J. Math. Phys. 44 (2003), 2186–2191.I (74) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.I (75) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (76) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[52] Banic, D. Ilisevic and S Varosanec, Bessel and Gruss type in-equalities in inner product modules, Proc. Edinburgh Math.Soc. 50 (2007), 23–36.I (77) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.

[53] M. Barczy and M. Toth, Local automorphisms of the sets ofstates and effects on a Hilbert space, Rep. Math. Phys. 48(2001), 289–298.I (78) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (79) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (80) L. Molnar and M. Gyory, Reflexivity of the automorphismand isometry groups of the suspension of B(H), J. Funct. Anal.159 (1998), 568–586.I (81) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (82) L. Molnar, Reflexivity of the automorphism and isometrygroups of C∗-algebras in BDF theory, Arch. Math. 74 (2000),120–128.I (83) L. Molnar and P. Semrl, Local automorphisms of the uni-tary group and the general linear group on a Hilbert space, Expo.Math. 18 (2000), 231–238.I (84) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.

106

I (85) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (86) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.

[54] B.A. Barnes and A.K. Roy, Diameter preserving maps on var-ious classes of function spaces, Studia Math. 153 (2002), 127–145.I (87) M. Gyory and L. Molnar, Diameter preserving linear bi-jections of C(X), Arch. Math. 71 (1998), 301–310.

[55] P. Battyanyi, On the range of a Jordan *-derivation, Comment.Math. Univ. Carolinae 37 (1996), 659–665.I (88) L. Molnar, On the range of a normal Jordan *-derivation,Comment. Math. Univ. Carolinae 35 (1994), 691–695.I (89) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (90) L. Molnar, The range of a Jordan *-derivation on an H∗-algebra, Acta Math. Hung. 72 (1996), 261–267.I (91) L. Molnar, The range of a Jordan *-derivation, Math.Japon. 44 (1996), 353–356.I (92) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[56] P. Battyanyi, Jordan *-derivations with respect to the Jordan-product, Publ. Math. (Debrecen) 48 (1996), 327–338.I (93) L. Molnar, On the range of a normal Jordan *-derivation,Comment. Math. Univ. Carolinae 35 (1994), 691–695.I (94) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (95) L. Molnar, The range of a Jordan *-derivation, Math.Japon. 44 (1996), 353–356.I (96) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[57] K.I. Beidar, M. Bresar, M.A. Chebotar, Jordan isomorphismsof triangular matrix algebras over a connected commutativering, Linear Algebra Appl. 312 (2000), 197–201.I (97) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[58] K.I. Beidar, M. Bresar and M.A. Chebotar, Functional iden-tities on upper triangular matrix algebras, J. Math. Sci. 102(2000), 4557–4565.

107

I (98) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[59] A. Ben Ali Essaleh, A.M. Peralta, M.I. Ramırez, Weak-localderivations and homomorphisms on C*-algebras, Linear Multi-linear Alg., to appear.I (99) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (100) L. Molnar, Bilocal *-automorphisms of B(H), Arch.Math. 102 (2014), 83–89.

[60] M. Bendaoud, Preservers of local spectrum of matrix Jordantriple products, Linear Algebra Appl. 471 (2015), 604–614.I (101) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[61] M. Bendaoud, M. Jabbar and M. Sarih Preservers of local spec-tra of operator products, Linear and Multilinear Algebra 63(2015), 806–819.I (102) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[62] I. Bengtssone and K. Zyczkowski, Geometry of Quantum States:An Introduction to Quantum Entanglement, Cambridge Univer-sity Press, 2006.I (103) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.

[63] D. Benkovic, Jordan derivations and antiderivations on trian-gular matrices, Linear Algebra Appl. 397 (2005), 235–244.I (104) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[64] D. Benkovic and D. Eremita, Characterizing left centralizersby their action on a polynomial, Publ. Math. (Debrecen) 64(2004), 343–351.I (105) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[65] M. Bessenyei, Functional equations and finite groups of substi-tutions, Amer. Math. Monthly 117 (2010), 921-927.

108

I (106) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[66] A. Blanco and A. Turnsek, On maps that preserve orthogonalityin normed spaces, Proc. Roy. Soc. Edinb. 136 (2006), 709–716.I (107) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[67] C. Boboc, S. Dascalescu and L. van Wyk, Jordan isomorphismsof 2-torsionfree triangular rings, Linear and Multilinear Alg.,to appear.I (108) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[68] A. Bodaghi, S.Y. Jang and C. Park, On the stability of Jordan*-derivation pairs, Results. Math. 64 (2013), 289–303.I (109) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[69] M. Bohata, Star order on operator and function algebras, Publ.Math. Debrecen 79 (2001), 211–229.I (110) L. Molnar and P. Semrl, Spectral order automorphisms ofthe spaces of Hilbert space effects and observables, Lett. Math.Phys. 80 (2007), 239–255.I (111) G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.

[70] M. Bohata and J. Hamhalter, Nonlinear maps on von Neumannalgebras preserving the star order, Linear Multilinear Algebra61 (2013), 998–1009.I (112) G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.I (113) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[71] M. Bohata and J. Hamhalter, Star order on JBW algebras, J.Math. Anal. Appl. 417 (2014), 873–888.I (114) G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.

109


[72] A. Bonami, G. Garrigos and P. Jaming, Discrete radar ambigu-ity problems, Appl. Comput. Harmon. Anal. 23 (2007), 388-414.I (116) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

[73] F. Botelho and J. Jamison, Algebraic and topological reflexivityproperties of lp(X) spaces, J. Math. Anal. Appl., 346 (2008),141-144.I (117) L. Molnar and B. Zalar, On automatic surjectivity ofJordan homomorphisms, Acta Sci. Math. (Szeged) 61 (1995),413–424.I (118) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.

[74] F. Botelho and J. Jamison, Algebraic reflexivity of C(X,E) andCambern’s theorem, Studia Math. 186 (2008), 295-302.I (119) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (120) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[75] F. Botelho and J. Jamison, Topological reflexivity of spaces ofanalytic functions, Acta Sci. Math. (Szeged) 75 (2009), 91–102.I (121) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (122) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[76] F. Botelho and J. Jamison, Algebraic reflexivity of sets ofbounded operators on vector valued Lipschitz functions, LinearAlgebra Appl. 432 (2010), 3337-3342.I (123) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (124) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

110


[77] F. Botelho and J. Jamison, Homomorphisms on algebras of Lip-schitz functions, Studia Math. 199 (2010), 95–106.I (126) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (127) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (128) L. Molnar, A reflexivity problem concerning the C∗-algebra C(X) ⊗ B(H), Proc. Amer. Math. Soc. 129 (2001),531–537.I (129) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (130) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[78] F. Botelho and J. Jamison, Algebraic reflexivity of tensor prod-uct spaces, Houston J. Math. 36 (2010), 1133–1137.I (131) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (132) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[79] F. Botelho and J. Jamison, Algebraic and topological reflexivityof spaces of Lipschitz functions, Rev. Roumaine Math. PuresAppl. 56 (2011), 105-114.I (133) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (134) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (135) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Soc. 42(1999), 17–36.I (136) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

111

I (137) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[80] F. Botelho and J. Jamison, Homomorphisms of non-commutative Banach *-algebrs of Lipschitz functions, in Func-tion Spaces in Modern Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 547, American Mathematical Society, 2011,pp. 73–78.I (138) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Soc. 42(1999), 17–36.I (139) L. Molnar, A reflexivity problem concerning the C∗-algebra C(X) ⊗ B(H), Proc. Amer. Math. Soc. 129 (2001),531–537.I (140) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[81] F. Botelho and T.S.S.R.K. Rao, On algebraic reflexivity ofsets of surjective isometries between spaces of weak∗ continu-ous functions, J. Math. Anal. Appl. 432 (2015), 367–373.I (141) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[82] N. Boudi and M. Mbekhta, Additive maps preserving stronglygeneralized inverses, J. Operator Theory 64 (2010), 117-130.I (142) L. Molnar, The automorphism and isometry groupsof `∞(N,B(H)) are topologically reflexive, Acta Sci. Math.(Szeged) 64 (1998), 671–680.

[83] A. Bourhim, M. Mabrouk, Maps preserving the local spectrumof Jordan product of matrices, Linear Algebra Appl. 484 (2015),379–395.I (143) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (144) L. Molnar and P. Semrl, Transformations of the unitarygroup on a Hilbert space, J. Math. Anal. Appl. 388 (2012),1205–1217.

[84] A. Bourhim and J. Mashreghi, Maps preserving the local spec-trum of product of operators, Glasgow Math. J. 57 (2015), 709–718.

112

I (145) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[85] A. Bourhim, J. Mashreghi, and A. Stepanyan, Nonlinear mapspreserving the minimum and surjectivity moduli, Linear Alge-bra Appl. 463 (2014), 171–189.I (146) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[86] A. Bourhim, J. Mashreghi, and A. Stepanyan, Maps preservingthe local spectrum of triple product of operators, Linear Multi-linear Algebra 63 (2015), 765–773.I (147) L. Molnar and P. Semrl, Transformations of the unitarygroup on a Hilbert space, J. Math. Anal. Appl. 388 (2012),1205–1217.

[87] J. Bracic, Algebraic reflexivity for semigroups of operators,Electr. J. Lin. Alg. 18 (2009), 745–760.I (148) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.I (149) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[88] M. Bresar, Characterizing homomorphisms, derivations andmultipliers in rings with idempotents, Proc. Royal Soc. Edin-burgh 137 (2007), 9–21.I (150) L. Molnar, Locally inner derivations of standard operatoralgebras, Math. Bohem. 121 (1996), 1–7.

[89] M. Bresar and M. Fosner, On rings with involution equippedwith some new product, Publ. Math. (Debrecen) 57 (2000), 121–134.I (151) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[90] M. Bresar and S. Spenko Determining elements in Banach al-gebras through spectral properties, J. Math. Anal. Appl. 393(2012), 144–150.I (152) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

113

[91] M. Burgos, F.J. Fernndez-Polo, J.J. Garces, J.M. Moreno andA.M. Peralta, Orthogonality preservers in C*-algebras, JB*-algebras and JB*-triples, J. Math. Anal. Appl. 348 (2008), 220-233.I (153) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[92] M. Burgos, F.J. Fernandez-Polo, J.J. Garces and A.M. Peralta,A Kowalski-Slodkowski theorem for 2-local *-homomorphismson von Neumann algebras, RACSAM, to appear.I (154) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[93] M. Burgos, F.J. Fernandez-Polo, J.J. Garces, A.M. Peralta,2-local triple homomorphisms on von Neumann algebras andJBW ∗-triples, J. Math. Anal. Appl. 426 (2015), 43–63.I (155) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (156) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (157) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.I (158) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (159) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.

[94] M. Burgos, J.J. Garces and A.M. Peralta, Automatic continuityof biorthogonality preservers between compact C∗-algebras andvon Neumann algebras, J. Math. Anal. Appl. 376 (2011), 221–230.I (160) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[95] M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Non-linear conditions for weighted composition operators betweenLipschitz algebras, J. Math. Anal. Appl. 359 (2009), 1–14.I (161) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

114

[96] M. Burgos, A. Jimenez-Vargas and M. Villegas-Vallecillos, Au-tomorphisms on algebras of operator-valued Lipschitz maps,Publ. Math. (Debrecen) 81 (2012), 127–144.I (162) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (163) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (164) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (165) L. Molnar, Reflexivity of the automorphism and isometrygroups of C∗-algebras in BDF theory, Arch. Math. 74 (2000),120–128.I (166) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (167) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[97] F. Cabello Sanchez, Diameter preserving linear maps andisometries, Arch. Math. 73 (1999), 373–379.I (168) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[98] F. Cabello Sanchez, Diameter preserving linear maps andisometries II, Proc. Indian Acad. Sci. 110 (2000), 205–211.I (169) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[99] F. Cabello Sanchez, The group of automorphisms of L∞ is al-gebraically reflexive, Studia Math. 161 (2004), 19–32.I (170) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (171) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (172) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (173) L. Molnar, The automorphism and isometry groupsof `∞(N,B(H)) are topologically reflexive, Acta Sci. Math.(Szeged) 64 (1998), 671–680.

115

I (174) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (175) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (176) L. Molnar, Reflexivity of the automorphism and isometrygroups of C∗-algebras in BDF theory, Arch. Math. 74 (2000),120–128.

[100] F. Cabello Sanchez, Convex transitive norms on spaces of con-tinuous functions, Bull. London. Math. Soc. 37 (2005), 107–118.I (177) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[101] F. Cabello Sanchez, Local isometries on spaces of continuousfunctions, Math. Z. 251 (2005), 735–749.I (178) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (179) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (180) L. Molnar, Preserver Problems on Algebraic Structuresof Linear Operators and on Function Spaces, Dissertation forthe D.Sc. degree of the Hungarian Academy of Sciences, 241pages, 2004.

[102] F. Cabello Sanchez, Automorphisms of algebras of smoothfunctions and equivalent functions, Differ. Geom. Appl. 30(2012), 216-221.I (181) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (182) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (183) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[103] F. Cabello Sanchez, J. Cabello Sanchez, Z. Ercan and S. Onal,Memorandum on multiplicative bijections and order, SemigroupForum 79 (2009), 193–209.

116

I (184) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.I (185) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[104] A. Cabello Sanchez and F. Cabello Sanchez, Maximal normson Banach spaces of continous functions, Math. Proc. Camb.Philos. Soc. 129 (2000), 325–330.I (186) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[105] G. Cassinelli, E. De Vito, P.J. Lahti and A. Levrero, TheTheory of Symmetry Actions in Quantum Mechanics, LectureNotes in Physics 654, Springer, 2004.I (187) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (188) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

[106] J.T. Chan, C.K. Li and N.S. Sze, Mappings on Matrices: In-variance of Functional Values of Matrix Products, J. Austral.Math. Soc. 81 (2006), 165–184.I (189) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (190) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (191) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[107] J.T. Chan, C.K. Li and N.S. Sze, Mappings preserving spectraof product of matrices, Proc. Amer. Math. Soc. 135 (2007),977–986.I (192) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (193) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

117

[108] M.A. Chebotar, Y. Fong and P.H. Lee, On maps preservingzeros of the polynomial xy − yx∗, Linear Algebra Appl. 408(2005), 230–243.I (194) L. Molnar, On the range of a normal Jordan *-derivation, Comment. Math. Univ. Carolinae 35 (1994), 691–695.I (195) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (196) L. Molnar, The range of a Jordan *-derivation, Math.Japon. 44 (1996), 353–356.

[109] M.A. Chebotar, W.F. Ke and P.H. Lee, Maps characterized byaction on zero products, Pacific J. Math. 216 (2004), 217–228.I (197) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (198) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (199) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (200) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (201) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (202) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.

[110] M.A. Chebotar, W. Ke and P. Lee, Maps preserving zeroJordan products on Hermitian operators, Illinois J. Math. 49(2005), 445–452.I (203) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (204) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (205) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (206) L. Molnar, Conditionally multiplicative maps on the setof all bounded observables preserving compatibility, Linear Al-gebra Appl. 349 (2002), 197–201.I (207) L. Molnar and M. Barczy, Linear maps on the space ofall bounded observables preserving maximal deviation, J. Funct.Anal. 205 (2003), 380–400.

118

[111] M.A. Chebotar, W.F. Ke, P.H. Lee and L.S. Shiao, On mapspreserving certain algebraic properties, Canad. Math. Bull. 48(2005), 355–369.I (208) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (209) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (210) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[112] L. Chen, F. Lu and T. Wang, Local and 2-local Lie deriva-tions of operator algebras on Banach spaces, Integr. Equ. Oper.Theory 77 (2013), 109–121.I (211) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[113] Z. Chen and D. Wang, 2-Local automorphisms of finite-dimensional simple Lie algebras, Linear Algebra Appl. 486(2015) 335–344.I (212) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[114] X.H. Cheng and W. Jing, Additivity of maps on triangularalgebras, Electr. J. Lin. Alg. 17 (2008), 597–615.I (213) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (214) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[115] W.S. Cheung, S. Fallat and C.K. Li, Multiplicative preserverson semigroups of matrices, Linear Algebra Appl. 355 (2002),173–186.I (215) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.

[116] W.S. Cheung and C.K. Li, Linear operators preserving gener-alized numerical ranges and radii on certain triangular algebrasof matrices, Canad. Math. Bull. 44 (2001), 270–281.I (216) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[117] G. Chevalier, Lattice approach to Wigner-type theorems, Int.J. Theor. Phys. 44 (2005), 1905–1915.

119

I (217) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (218) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[118] G. Chevalier, Wigner’s theorem and its generalizations, inEngesser, Kurt (ed.) et al., Handbook of quantum logic andquantum structure: Quantum structures, Amsterdam: Elsevier.(2007), 429-475.I (219) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (220) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (221) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (222) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (223) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (224) L. Molnar, A Wigner-type theorem on symmetry trans-formations in Banach spaces, Publ. Math. (Debrecen) 58(2000), 231–239.I (225) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (226) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[119] G. Chevalier, Wigner-type theorems for projections, Int. J.Theor. Phys. 47 (2008), 69–80.I (227) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (228) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[120] J. Chmielinski, Orthogonality preserving property and its Ulamstability, in Functional Equations in Mathematical Analysis,

120

Springer Optimization and Its Applications, 2012, Volume 52,Part 1, 33–58.I (229) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[121] J. Chmielinski, D. Ilisevic, M.S. Moslehian and G.H. Sadeghi,Perturbation of the Wigner equation in inner product C∗-modules, J. Math. Phys. 49 (2008), 033519.I (230) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[122] W.L. Chooi, Rank-one non-increasing additive maps betweenblock triangular matrix algebras, Linear and Multilinear Algebra58 (2010), 715–740.I (231) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[123] W.L. Chooi and M.H. Lim, Rank-one nonincreasing mappingson triangular matrices and some related preserver problems,Linear Multilinear Alg. 49 (2001), 305–336.I (232) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[124] W.L. Chooi and M.H. Lim, Coherence invariant mappingson block triangular matrix spaces, Linear Algebra Appl. 346(2002), 199–238.I (233) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[125] W.L. Chooi and M.H. Lim, Some linear preserver problemson block triangular matrix algebras, Linear Algebra Appl. 370(2003), 25–39.I (234) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[126] W.L. Chooi and M.H. Lim, Additive rank-one preserver onblock triangular matrix spaces, Linear Algebra Appl. 416(2006), 588-607.I (235) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

121

[127] S. Clark, C.K. Li and L. Rodman, Spectral radius preserversof products of nonnegative matrices, Banach J. Math. Anal. 2(2008), 107-120.I (236) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[128] S. Cobzas and M.D. Rus, Normal cones and Thompson metric,Topics in Mathematical Analysis and Applications Springer Op-timization and Its Applications Volume 94, 2014, pp 209-258.I (237) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.I (238) O. Hatori and L. Molnar, Isometries of the unitarygroups and Thompson isometries of the spaces of invertible pos-itive elements in C∗-algebras, J. Math. Anal. Appl. 409 (2014),158–167.

[129] C. Costara, Automatic continuity for linear surjective mapscompressing the point spectrum, Oper. Matrices 9 (2015), 401–405.I (239) L. Molnar, Bilocal *-automorphisms of B(H), Arch.Math. 102 (2014), 83–89.I (240) L. Molnar, P. Semrl and A.R. Sourour, Bilocal automor-phisms, Oper. Matrices 9 (2015), 113–120.

[130] J. Cui, Linear maps leaving zeros of a polynomial invariant,Acta Math. Sinica 50 (2007), 493–496.I (241) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[131] J.L. Cui, Nonlinear preserver problems on B(H), Acta Math.Sin. 27 (2011), 193–202.I (242) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (243) L. Molnar and P. Semrl, Spectral order automorphisms ofthe spaces of Hilbert space effects and observables, Lett. Math.Phys. 80 (2007), 239–255.I (244) G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.

[132] J. Cui and J. Hou, Linear maps on von Neumann algebraspreserving zero products or tr-rank, Bull. Austral. Math. Soc.65 (2002), 79–91.

122

I (245) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.I (246) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[133] J. Cui and J. Hou, Linear maps preserving ideals of C∗-algebras, Proc. Amer. Math. Soc. 131 (2003), 3441–3446.I (247) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[134] J. Cui and J. Hou, Linear maps preserving idempotence on nestalgebras, Acta Math. Sinica 20 (2004), 807–820.I (248) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[135] J. Cui and J. Hou, Linear maps preserving indefinite orthogo-nality on C∗-algebras, Chinese Ann. Math., Ser. A 25 (2004),437–444.I (249) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (250) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[136] J. Cui and J. Hou, Linear maps preserving elements annihilatedby a polynomial XY −Y X†, Studia Math. 174 (2006), 183–199.I (251) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (252) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[137] J. Cui and J. Hou, A characterization of indefinite-unitary in-variant linear maps and relative results, Northeast. Math. J.22(2006), 89–98.I (253) V. Mascioni and L. Molnar, Linear maps on factorswhich preserve the extreme points of the unit ball, Canad. Math.Bull. 41 (1998), 434–441.

123

I (254) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[138] J. Cui and J. Hou, Maps leaving functional values of opera-tor products invariant, Linear Algebra Appl. 428 (2008), 1649–1663.I (255) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[139] J. Cui, J. Hou and B. Li, Linear preservers on upper triangularoperator matrix algebras, Linear Algebra Appl. 336 (2001), 29–50.I (256) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[140] J. Cui, J. Hou and C-G. Park, Indefinite orthogonality preserv-ing additive maps, Arch. Math. 83 (2004), 548–557.I (257) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (258) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[141] J. Cui and C.K. Li, Maps preserving product XY − Y X∗ onfactor von Neumann algebras, Linear Algebra Appl. 431 (2009),833-842.I (259) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[142] J. Cui and C.K. Li, Maps preserving peripheral spectrum ofJordan products of operators, Oper. Matrices 6 (2012), 129–146.I (260) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[143] J. Cui, C.K. Li and Y.T. Poon, Pseudospectra of special opera-tors and pseudospectrum preservers, J. Math. Anal. Appl. 419(2014), 1261–1273.I (261) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

124

[144] J. Cui, Q. Li, J. Hou and X. Qi, Some unitary similarity invari-ant sets preservers of skew Lie products, Linear Algebra Appl.457 (2014), 76–92.I (262) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (263) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[145] J. Cui and C. Park, Maps preserving strong skew Lie producton factor Von Neumann algebras, Acta Math. Sci. (Ser. B Engl.Ed.) 32 (2012), 531–538.I (264) L. Molnar, On the range of a normal Jordan *-derivation, Comment. Math. Univ. Carolinae 35 (1994), 691–695.I (265) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[146] L. Dai and F. Lu, Nonlinear maps preserving Jordan *-products, J. Math. Anal. Appl. 409 (2014), 180–188.I (266) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[147] M.N. Daif and M.S. Tammam El-Sayiad, An identity related togeneralized derivations, Internat. J. Algebra 1 (2007), 547–550.I (267) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[148] M.N. Daif and M.S. Tammam El-Sayiad, On generalizedderivations of semiprime rings with involution, Internat. J. Al-gebra 1 (2007), 551–555.I (268) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[149] S. Dascalescu, S. Predut, L. van Wyk, Jordan isomorphisms ofgeneralized structural matrix rings, Linear Multilinear Alg. 61(2013), 369–376.I (269) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[150] J. Dauxois, G.M. Nkiet, Y. Romain, Canonical analysis rel-ative to a closed subspace, Linear Algebra Appl. 388 (2004),119–145.I (270) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

125

[151] Q. Di and J. Hou, Maps preserving numerical range of productsof operators, J. Shanxi Teacher’s Univ. Nat. Sci. Ed. 19 (2005),1–4.I (271) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[152] M. Dobovisek, Maps from Mn(F) to F that are multiplicativewith respect to Jordan triple product, Publ. Math. (Debrecen)73 (2008), 89–100.I (272) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (273) L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Hermitianmatrices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.

[153] M. Dobovisek, Maps from M2(F) to M3(F) that are multi-plicative with respect to the Jordan triple product, AequationesMath., 85 (2013), 539–552.I (274) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[154] M. Dobovisek, B. Kuzma, G. Lesnjak, C.K. Li and T. Petek,Mappings that preserve pairs of operators with zero triple Jor-dan product, Linear Algebra Appl. 426 (2007), 255–279.I (275) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[155] G. Dolinar, Maps on Mn preserving Lie products, Publ. Math.(Debrecen) 71 (2007), 467–478.I (276) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[156] G. Dolinar, A. Guterman and J. Marovt, Monotone transfor-mations on B(H) with respect to the left-star and the right-starorder, Math. Inequal. Appl. 17 (2014), 573–589.I (277) L. Molnar and E. Kovacs, An extension of a character-ization of the automorphisms of Hilbert space effect algebras,Rep. Math. Phys. 52 (2003), 141–149.

[157] G. Dolinar and B. Kuzma, General preservers of quasi-commutativity, preprint, Canad. J. Math. 62 (2010), 758–786.I (278) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

126

I (279) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (280) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[158] G. Dolinar and B. Kuzma, General preservers of quasi-commutativity on self-adjoint operators, J. Math. Anal. Appl.364 (2010), 567–575.I (281) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (282) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[159] G. Dolinar and B. Kuzma, General preservers of quasi-commutativity on Hermitian matrices, Electr. J. Lin. Alg. 17(2008), 436-444.I (283) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[160] C. Dryzun and D. Avnir, Chirality measures for vectors, matri-ces, operators and functions, ChemPhysChem 12 (2011), 197–205.I (284) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (285) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (286) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[161] H. Du and H.X. Cao, Generalization of Uhlhorn’s theorem, J.Yanan Univ. Nat. Sci. 24 (2005), 7–8.I (287) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[162] H. Du and H.X. Cao, Some remarks on Wigner’s theorem,Fangzhi Gaoxiao Jichukexue Xuebao 22 (2009), 346–348.

127

I (288) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (289) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[163] H.K. Du, C.Y. Deng and Q.H. Li, On the infimum problem ofHilbert space effects, Sci. China Ser. A 49 (2006), 545–556.I (290) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[164] S.P. Du, J.C. Hou and Z.F. Bai, Additive maps preserving simi-larity or asymptotic similarity on B(H), Linear and MultilinearAlgebra 55 (2007), 209–218.I (291) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[165] Y. Du and Y. Wang, Additivity of Jordan maps on triangularalgebras, Linear Multiliear Alg. 60 (2012), 933–940.I (292) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[166] Y. Du and Y. Wang, Jordan homomorphisms of upper trian-gular matrix rings over a prime ring, Linear Algebra Appl. 458(2014), 197–206.I (293) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[167] A. Duma and C. Vladimirescu, Non-decomposable inner prod-uct spaces, Math. Sci. Res. J. 8 (2004), 67–84.I (294) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[168] S. Dutta and T.S.S.R.K. Rao, Algebraic reflexivity of somesubsets of the isometry group, Linear Algebra Appl. 429 (2008),1522–1527.I (295) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (296) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

128

[169] R. El Harti and M Mabrouk, Maps compressing and expandingthe numerical range on C∗-algebras, Linear Multilinear Alg., toappear.I (297) L. Molnar, The automorphism and isometry groupsof `∞(N,B(H)) are topologically reflexive, Acta Sci. Math.(Szeged) 64 (1998), 671–680.

[170] A.B.A. Essaleh, M. Niazi and A.M. Peralta, Bilocal *-automorphisms of B(H) satisfying the 3-local property, Arch.Math. 104 (2015), 157–164.I (298) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (299) L. Molnar, Bilocal *-automorphisms of B(H), Arch.Math. 102 (2014), 83–89.

[171] D. Ethier, T. Lindberg, and A. Luttman, Polynomial identifi-cation in uniform and operator algebras, Ann. Funct. Anal. 1(2010), 105–122.I (300) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (301) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[172] X. Fang, N.S. Sze and X.M. Xu, The Cuntz comparison inthe standard C∗-algebra, Abstr. Appl. Anal. 2014, Article ID623520, 4 pages.I (302) G. Dolinar and L. Molnar, Maps on quantum observablespreserving the Gudder order, Rep. Math. Phys. 60 (2007), 159–166.

[173] A.K. Faraj and A.H. Majeed, On Left σ-centralizers of Jordanideals and generalized Jordan left (σ, τ)-derivations of primerings, Eng. and Tech. Journal 29 (2011), 544–553.I (303) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[174] J.S. Farsani, Zero products preserving maps from the Fourieralgebra of amenable groups, Bull. Belg. Math. Soc. Simon Stevin21 (2014), 523–534.I (304) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

129

[175] W. Feldman, Lattice preserving maps on lattices of continuousfunctions, J. Math. Anal. Appl. 404 (2013), 310–316.I (305) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (306) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.

[176] S. Feng, Additivity of elementary maps on nest subalgebras ofvon Neumann algebra, J. Baoji College Arts Sci. Nat. Sci. 28(2008), 177–181.I (307) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.

[177] S. Feng and J.H. Zhang, Additivity of elementary maps on nestsubalgebra of von Neumann algebra, J. Xi’an Univ. Art Sci. Nat.Sci. Ed. 9 (2006), 29–32.I (308) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[178] R.J. Fleming and J.E. Jamison, Isometries on Banach spaces:Vector-valued function spaces. Vol. 2. Chapman & Hall/CRCMonographs and Surveys in Pure and Applied Mathematics138, Boca Raton, 2007.I (309) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (310) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.I (311) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (312) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (313) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.

[179] J.J. Font and M. Hosseini, Diameter preserving mappings be-tween function algebras, Taiwanese J. Math. 15 (2011), 1487–1495.I (314) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

130

[180] J.J. Font and M. Sanchis, A characterization of locally compactspaces with homeomorphic one-point compactifications, Topol-ogy Appl., 121 (2002), 91–104.I (315) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[181] J.J. Font and M. Sanchis, Extreme points and the diameternorm, Rocky Mountain J. Math. 34 (2004), 1325–1332.I (316) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[182] A. Fosner, Automorphisms of the poset of upper triangularidempotent matrices, Linear and Multilinear Algebra 53 (2005),27–44.I (317) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.I (318) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[183] A. Fosner, Order preserving maps on the poset of upper trian-gular idempotent matrices, Linear Algebra Appl. 403 (2005),248–262.I (319) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.I (320) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[184] A. Fosner, Non-linear commutativity preserving maps onMn(R), Linear and Multilinear Algebra 53 (2005), 323–344.I (321) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[185] A. Fosner, Non-linear commutativity preserving maps on sym-metric matrices, Publ. Math. (Debrecen), 71 (2007), 375–396.I (322) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math. 56(2005), 589–595.

[186] A. Fosner, Commutativity preserving maps on Mn(R), GlasnikMat. 44 (2009), 127–140.

131


[187] A. Fosner, A note on commutativity preservers on real ma-trices, Proceedings of the 5th Asian Mathematical Conference,Malaysia 2009, pp. 373–379.I (324) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math. 56(2005), 589–595.I (325) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[188] A. Fosner, 2-local Jordan automorphisms on operator algebras,Studia Math. 209 (2012), 235–246.I (326) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[189] A. Fosner, 2-local mappings on algebras with involution, Ann.Funct. Anal. 5 (2014), 63–69.I (327) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[190] A. Fosner, Local generalized (α, β)-derivations, The ScientificWorld J. (2014), Article ID 805780, 5 pp.I (328) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[191] A. Fosner and M. Fosner, On superderivations and local su-perderivations, Taiwanese J. Math. 11 (2007), 1383–1396.I (329) L. Molnar, Locally inner derivations of standard operatoralgebras, Math. Bohem. 121 (1996), 1–7.

[192] A. Fosner and M. Fosner, On ε-derivations and local ε-derivations, Acta Math. Sin. 26 (2010), 1555-1566.I (330) L. Molnar, Locally inner derivations of standard operatoralgebras, Math. Bohem. 121 (1996), 1–7.

[193] A. Fosner, Z. Huang, C.K. Li, N.S. Sze, Linear preservers andquantum information science, Linear Multilinear Algebra 61(2013), 1377–1390.I (331) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

132

I (332) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (333) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (334) L. Molnar, Conditionally multiplicative maps on the setof all bounded observables preserving compatibility, Linear Al-gebra Appl. 349 (2002), 197–201.I (335) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (336) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (337) L. Molnar and M. Barczy, Linear maps on the space ofall bounded observables preserving maximal deviation, J. Funct.Anal. 205 (2003), 380–400.I (338) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[194] A. Fosner, Z. Huang, C.K. Li, Y.T. Poon, N.S. Sze, Linearmaps preserving the higher numerical ranges of tensor productof matrices, Linear Multilinear Algebra 62 (2014), 776–791.I (339) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[195] A. Fosner, B. Kuzma, T. Kuzma, S.S. Sze, Maps preservingmatrix pairs with zero Jordan product, Linear and MultilinearAlgebra 59 (2011), 507–529.I (340) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.I (341) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (342) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[196] A. Fosner and N. Persin, On certain functional equation relatedto two-sided centralizers, Aeq. Math. Aeq. Math. 85 (2013),329–346.I (343) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

133

[197] A. Fosner and J. Vukman, Some functional equations on stan-dard operator algebras, Acta Math. Hung. 118 (2008), 299–306.I (344) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[198] M. Fosner, Prime rings with involution equipped with some newproduct, Southeast Asian Bull. Math. 26 (2002), 27–31.I (345) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[199] M. Fosner and D. Ilisevic, Generalized bicircular projectionsvia rank preserving maps on the spaces of symmetric and anti-symmetric operators, Oper. Matrices 5 (2011), 239-260.I (346) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[200] M. Fosner and J. Vukman, An equation related to two-sidedcentralizers in prime rings, Rocky Mountain J. Math. 41(2011), 765–776.I (347) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[201] D.J. Foulis, Square roots and inverses in E-rings, Rep. Math.Phys. 58 (2006), 357–373.I (348) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.

[202] D.J. Foulis, Observables, states, and symmetries in the contextof CB-effect algebras, Rep. Math. Phys. 60 (2007), 329–346.I (349) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.

[203] A. Galantai, Subspaces, angles and pairs of orthogonal projec-tions, Linear and Multilinear Algebra, 56 (2008), 227–260.I (350) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

[204] H. Gao, Jordan-triple multiplicative surjective maps on B(H),J. Math. Anal. Appl. 401 (2013), 397–403.I (351) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (352) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczy

134

and Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[205] H.L Gau and C.K. Li, C∗-isomorphisms, Jordan isomor-phisms, and numerical range preserving maps, Proc. Amer.Math. Soc. 135 (2007), 2907–2914.I (353) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[206] Gy.P. Geher, An elementary proof for the non-bijective versionof Wigners theorem, Phys. Lett. A 378 (2014), 2054–2057.I (354) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (355) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (356) F. Botelho, J. Jamison and L. Molnar, Surjective isome-tries on Grassmann spaces, J. Funct. Anal. 265 (2013), 2226–2238.

[207] Gy.P. Geher, Maps on real Hilbert spaces preserving the areaof parallelograms and a preserver problem on self-adjoint oper-ators, J. Math. Anal. Appl. 422 (2015), 1402–1413.I (357) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (358) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (359) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (360) L. Molnar and W. Timmermann, Transformations onbounded observables preserving measure of compatibility, Int. J.Theor. Phys. 50 (2011), 3857–3863.

[208] Gy. P. Geher and G. Nagy, Maps on classes of Hilbert spaceoperators preserving measure of commutativity, Linear AlgebraAppl. 463 (2014), 205–227.I (361) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (362) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

135

I (363) L. Molnar and W. Timmermann, Transformations onbounded observables preserving measure of compatibility, Int. J.Theor. Phys. 50 (2011), 3857–3863.I (364) L. Molnar and P. Semrl, Transformations of the unitarygroup on a Hilbert space, J. Math. Anal. Appl. 388 (2012),1205–1217.

[209] A.G. Ghazanfari and S.S. Dragomir Bessel and Gruss type in-equalities in inner product modules over Banach *-algebras, J.Inequal. Appl. Volume 2011, Article ID 562923, 16 pages.I (365) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.

[210] L. Gong, X. Qi, J. Shao and F. Zhang, Strong (skew) ξ-Liecommutativity preserving maps on algebras, Cogent Mathemat-ics (2015), 2: 1003175.I (366) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[211] F. Gonzalez and V.V. Uspenskij, On homomorphisms of groupsof integer-valued functions, Extracta Math. 14 (1999), 19–29.I (367) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[212] O. Golbasi and E. Koc, Notes on Jordan (σ, τ)∗-derivationsand Jordan triple (σ, τ)∗-derivations, Aeq. Math. 85 (2013),581–591.I (368) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[213] S.A. Grigoryan and T.V. Tonev, Shift-invariant Uniform Alge-bras on Groups, Monografie Matematyczne, Vol. 68, BirkhauserVerlag, 2006.I (369) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[214] E. Gselmann, Jordan triple mappings on positive denite matri-ces, Aeq. Math., to appear.I (370) L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Hermitianmatrices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.

[215] R.J. Gu and P.S. Ji, Jordan triple maps of triangular algebras,J. Qingdao Univ. Nat. Sci. Ed. 20 (2007), 8–11.I (371) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

136

[216] S. Gudder and R. Greechie, Sequential products on effect alge-bras, Rep. Math. Phys. 49 (2002), 87–111.I (372) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.

[217] S. Gudder and F. Latremoliere, Characterization of the se-quential product on quantum effects, J. Math. Phys. 49 (2008),052106.I (373) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[218] M. Gyory, 2-local isometries of C0(X), Acta Sci. Math.(Szeged) 67 (2001), 735–746.I (374) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (375) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (376) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (377) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (378) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[219] M. Gyory, Transformations on the set of all n-dimensional sub-spaces of a Hilbert space preserving orthogonality, Publ. Math.(Debrecen) 65 (2004), 233–242.I (379) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (380) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (381) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (382) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (383) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

137

[220] M. Gyory, A new proof of Wigner’s theorem, Rep. Math. Phys.54 (2004), 159–167.I (384) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (385) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

[221] M. Gyory, On the topological reflexivity of the isometry groupof the suspension of B(H), Studia Math. 166 (2005), 287–303.I (386) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (387) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (388) L. Molnar, A proper standard C∗-algebra whose auto-morphism and isometry groups are topologically reflexive, Publ.Math. (Debrecen) 52 (1998), 563–574.I (389) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (390) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (391) L. Molnar, Reflexivity of the automorphism and isometrygroups of C∗-algebras in BDF theory, Arch. Math. 74 (2000),120–128.

[222] D. Hadwin and J.K. Li, Local derivations and local automor-phisms, J. Math. Anal. Appl. 290 (2004), 702–714.I (392) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.

[223] J. Hamhalter, Quantum Measure Theory, Kluwer AcademicPublishers, Dordrecht, Boston, London, 2003.I (393) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (394) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[224] J. Hamhalter, Spectral order of operators and range projec-tions, J. Math. Anal. Appl. 331 (2007), 1122-1134.

138

I (395) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

[225] J. Hamhalter, Linear maps preserving maximal deviation andthe Jordan structure of quantum systems, J. Math. Phys. 53(2012), 122208.I (396) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.I (397) L. Molnar and M. Barczy, Linear maps on the space ofall bounded observables preserving maximal deviation, J. Funct.Anal. 205 (2003), 380–400.I (398) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (399) L. Molnar, Linear maps on observables in von Neumannalgebras preserving the maximal deviation, J. London Math.Soc. 81 (2010), 161–174.

[226] X. Hao, P. Ren and R.L. An, Jordan semi-triple multiplicativemaps on symmetric matrices, Advances in Linear Algebra andMatrix Theory 3 (2013), 11–16.I (400) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (401) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[227] O. Hatori, Algebraic properties of isometries between groups ofinvertible elements in Banach algebras, J. Math. Anal. Appl.376 (2011) 84-93.I (402) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.

[228] O. Hatori, Isometries of the unitary groups in C∗-algebras, Stu-dia Math. 221 (2014), 61–86.I (403) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.I (404) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (405) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.

139

I (406) L. Molnar and G. Nagy, Thompson isometries on positiveoperators: the 2-dimensional case, Electron. J. Lin. Alg. 20(2010), 79–89.I (407) L. Molnar, Kolmogorov-Smirnov isometries and affineautomorphisms of spaces of distribution functions, Cent. Eur.J. Math. 9 (2011), 789–796.I (408) L. Molnar and G. Nagy, Isometries and relative entropypreserving maps on density operators, Linear Multilinear Alge-bra 60 (2012), 93–108.

[229] O. Hatori, Isometries on the spetial unitary group, in FunctionSpaces in Analysis, K. Jarosz, Edt. Contemporary Mathematicsvol. 645, American Mathematical Society, 2015, pp. 119–134.I (409) L. Molnar, Jordan triple endomorphisms and isometriesof unitary groups, Linear Algebra Appl. 439 (2013), 3518–3531.I (410) L. Molnar and P. Semrl, Transformations of the unitarygroup on a Hilbert space, J. Math. Anal. Appl. 388 (2012),1205–1217.

[230] O. Hatori, K. Hino, T. Miura and H. Oka, Peripherallymonomial-preserving maps between uniform algebras, Mediterr.J. Math. 6 (2009), 47-59.I (411) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[231] O. Hatori, G. Hirasawa and T. Miura, Additively spectral-radius preserving surjections between unital semisimple commu-tative Banach algebras, Cent. Eur. J. Math. 8 (2010), 597–601.I (412) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[232] O. Hatori, T. Ishii, T. Miura and S. Takahasi, Characteriza-tions and automatic linearity for ring homomorphisms on alge-bras of functions, in Function Spaces, K. Jarosz, Edt. Contem-porary Mathematics vol. 328, American Mathematical Society,2003, pp. 201–215.I (413) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.I (414) L. Molnar, Automatic surjectivity of ring homomor-phisms on H∗-algebras and algebraic differences among somegroup algebras of compact groups, Proc. Amer. Math. Soc. 128(2000), 125–134.

140

[233] O. Hatori, A. Jimenez-Vargas and M. Villegas-Vallecillos,Maps which preserve norms of non-symmetrical quotients be-tween groups of exponentials of Lipschitz functions, J. Math.Anal. Appl. 415 (2014), 825–845.I (415) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[234] O. Hatori, K. Kobayashi, T. Miura and S.E. Takahasi, Reflec-tions and a generalization of the Mazur-Ulam theorem, RockyMountain J. Math. 42 (2012), 117–150.I (416) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.

[235] O. Hatori, S. Lambert, A. Luttman, T. Miura, T. Tonev, andR. Spectral preservers in commutative Banach algebras, in Func-tion Spaces in Modern Analysis, K. Jarosz, Edt. ContemporaryMathematics vol. 547, American Mathematical Society, 2011,pp. 103–124.I (417) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (418) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[236] O. Hatori, T. Miura and H. Takagi, Characterizations ofisometric isomorphisms between uniform algebras via non-linear range-preserving properties, Proc. Amer. Math. Soc. 134(2006), 2923-2930.I (419) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[237] O. Hatori, T. Miura and H. Takagi, Unital and multiplicativelyspectrum-preserving surjections between semi-simple commuta-tive Banach algebras are linear and multiplicative, J. Math.Anal. Appl. 326 (2007), 281–296.I (420) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[238] O. Hatori, T. Miura and H. Oka, An example of multiplicativelyspectrum-preserving maps between non-isomorphic semi-simple

141

commutative Banach algebras, Nihonkai Math. J. 18 (2007),11–15.I (421) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[239] O. Hatori, T. Miura, H. Oka and H. Takagi, 2-local isometriesand 2-local automorphisms on uniform algebras, Int. Math. Fo-rum 2 (2007), 2491–2502.I (422) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (423) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (424) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (425) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (426) L. Molnar, Preserver Problems on Algebraic Structuresof Linear Operators and on Function Spaces, Dissertation forthe D.Sc. degree of the Hungarian Academy of Sciences, 241pages, 2004.

[240] O. Hatori, T. Miura, H. Oka and H. Takagi, Peripheral mul-tiplicativity of maps on uniformly closed algebras of continuousfunctions which vanish at infinity, Tokyo J. of Math. 32 (2009),91–104.I (427) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[241] O. Hatori, T. Miura, R. Shindo and H. Takagi, Generalizationsof spectrally multiplicative surjections between uniform algebras,Rend. Circ. Mat. Palermo 59 (2010), 161–183.I (428) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[242] K. He and J. Hou, Distance preserving maps and completelydistance preserving maps on the Schatten p-class, J. ShanxiUniv. Nat. Sci. Ed. 32 (2009), 502–506.I (429) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.

142

[243] K. He and J. Hou, A generalization of Wigners theorem, ActaMath. Sci. (Ser. A) 31 (2011), 1633-1636.I (430) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (431) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (432) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[244] K. He and J. Hou, A generalization of Uhlhorn’s version ofWigners theorem, J. Math. Study 45 (2012), 107–114.I (433) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (434) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (435) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (436) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.

[245] K. He and J. Hou, Non-linear maps on self-adjoint operatorspreserving numerical radius and numerical range of Lie product,Linear Multilinear Alg., to appear.I (437) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[246] K. He, J. Hou and C.K. Li, A geometric characterization ofinvertible quantum measurement maps, J. Funct. Anal. 264(2013), 464–478.I (438) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (439) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (440) L. Molnar and W. Timmermann, Mixture preservingmaps on von Neumann algebra effects, Lett. Math. Phys. 79(2007), 295–302.

143

[247] K. He, F. Sun and J. Hou, Separability of sequential isomor-phisms on quantum effects in multipartite systems, J. Phys. A:Math. Theor. 48 (2015), 075302 (9pp).I (441) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (442) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[248] K. He and Q. Yuan, Non-linear isometries on Schatten-p classin atomic nest algebras, Abstr. Appl. Anal. Volume 2014, Arti-cle ID 810862.I (443) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.I (444) L. Molnar, Isometries of the spaces of bounded framefunctions, J. Math. Anal. Appl. 338 (2008), 710–715.

[249] K. He, Q. Yuan and J. Hou, Entropy-preserving maps on quan-tum states, Linear Algebra Appl. 467 (2015), 243-253.I (445) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (446) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (447) L. Molnar, Maps on states preserving the relative en-tropy, J. Math. Phys. 49 (2008), 032114.I (448) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.I (449) L. Molnar and G. Nagy, Transformations on density op-erators that leave the Holevo bound invariant, Int. J. Theor.Phys. 53 (2014), 3273–3278.

[250] H. Heinosaari, A simple sufficient condition for the coexistenceof quantum effects, J. Phys. A: Math. Theor. 46 (2013), 152002.I (450) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

[251] H. Heinosaari, D. Reitzner and P. Stano, Notes on joint mea-surability of quantum observables, Found. Phys. 38 (2008),1133–1147.I (451) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

144

[252] T. Heinosaari and M. Ziman, Guide to mathematical conceptsof quantum theory, Acta Phys. Slov. 58 (2008), 487–674.I (452) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (453) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (454) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[253] C. Heunen and C. Horsman, Matrix multiplication is deter-mined by orthogonality and trace, Linear Algebra Appl. 439(2013), 4130–4134.I (455) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[254] F. Hiai and D. Petz, Introduction to Matrix Analysis and Ap-plications, Springer and Hindustan Book Agance, New Delhi,India 2014, 332 p.I (456) L. Molnar, Maps preserving the geometric mean of posi-tive operators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.

[255] G. Hirasawa, T. Miura and R. Shindo, A generalization of theBanach-Stone theorem for commutative Banach algebras, Ni-honkai Math. J. 21 (2010), 105–114.I (457) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[256] G. Hirasawa, T. Miura and H. Takagi, Spectral radii condi-tions for isomorphisms between unital semisimple commutativeBanach algebras, in Function Spaces in Modern Analysis, K.Jarosz, Edt. Contemporary Mathematics vol. 547, AmericanMathematical Society, 2011, pp. 125–134.I (458) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[257] G. Hirasawa and H. Oka, A polynomially spectrum preservingmap between uniform algebras, Nihonkai Math. J. 21 (2010),115–119.I (459) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

145

[258] M. Hongan, N.U. Rehman and R.M. Al-Omary On Lie Idealsand Jordan triple derivations in rings, Rend. Sem. Mat. Univ.Padova 125 (2011), 147–156.I (460) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[259] D. Honma, Surjections on the algebras of continuous func-tions which preserve peripheral spectrum, in Function Spaces,K. Jarosz, Edt. Contemporary Mathematics vol. 435, AmericanMathematical Society, 2007, pp. 199–206.I (461) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[260] D. Honma, Norm-preserving surjections on the algebras of con-tinuous functions, Rocky Mount. J. Math. 39 (2009), 1517–1531.I (462) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[261] S. Honma and T. Nogawa, Isometries of the geodesic distancesfor the space of invertible positive operators and matrices, Lin-ear Algebra Appl. 444 (2014), 152–164.I (463) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.I (464) L. Molnar and G. Nagy, Thompson isometries on positiveoperators: the 2-dimensional case, Electron. J. Lin. Alg. 20(2010), 79–89.I (465) O. Hatori and L. Molnar, Isometries of the unitary group,Proc. Amer. Math. Soc. 140 (2012), 2141–2154.I (466) O. Hatori, G. Hirasawa, T. Miura and L. Molnar, Isome-tries and maps compatible with inverted Jordan triple productson groups, Tokyo J. Math. 35 (2012), 385–410.I (467) L. Molnar, Jordan triple endomorphisms and isometriesof unitary groups, Linear Algebra Appl. 439 (2013), 3518–3531.I (468) O. Hatori and L. Molnar, Isometries of the unitarygroups and Thompson isometries of the spaces of invertible pos-itive elements in C∗-algebras, J. Math. Anal. Appl. 409 (2014),158–167.I (469) L. Molnar, Jordan triple endomorphisms and isometriesof spaces of positive definite matrices, Linear Multilinear Alg.,to appear.

146

[262] M. Hosseini and M. Amini, Peripherally multiplicative maps be-tween Figa-Talamanca-Herz algebras, Publ. Math. (Debrecen)86 (2015), 71–88.I (470) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[263] M. Hosseini and J.J. Font, Norm-additive in modulus mapsbetween function algebras, Banach J. Math. Anal. 8 (2014), 79–92.I (471) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[264] M. Hosseini and F. Sady, Multiplicatively range-preservingmaps between Banach function algebras, J. Math. Anal. Appl.357 (2009), 314-322.I (472) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[265] M. Hosseini and F. Sady, Multiplicatively and non-symmetricmultiplicatively norm-preserving maps, Cent. Eur. J. Math. 8(2010), 878–889.I (473) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[266] M. Hosseini and F. Sady, Weighted composition operators onC(X) and Lipc(X,α), Tokyo J. of Math. 35 (2012), 71–84.I (474) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[267] M. Hosseini and F. Sady, Banach function algebras and certainpolynomially norm-preserving maps, Banach J. Math. Anal. 6(2012), 1–18.I (475) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[268] M. Hosseini and F. Sady, Maps between Banach function alge-bras satisfying certain norm conditions, Cent. Eur. J. Math. 11(2013), 1020–1033.I (476) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

147

[269] J. Hou and J. Cui, Rank-1 preserving linear maps on nest al-gebras, Linear Algebra Appl. 369 (2003), 263–277.I (477) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[270] J. Hou and J. Cui, Completely rank nonincreasing linear mapson nest algebras, Proc. Amer. Math. Soc. 132 (2004), 1419–1428.I (478) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[271] J. Hou and Q. Di, Maps preserving numerical ranges of oper-ator products, Proc. Amer. Math. Soc. 134 (2006), 1435–1446.I (479) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[272] J. Hou, K. He and X. Qi, Characterizing sequential isomor-phisms on Hilbert-space effect algebras, J. Phys. A: Math.Theor. 43 (2010), 315206.I (480) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (481) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (482) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[273] J. Hou and L. Huang, Maps completely preserving idempotentsand maps completely preserving square-zero operators, Israel J.Math. 176 (2010), 363-380.I (483) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[274] J. Hou, C.K. Li and N.C. Wong, Jordan isomorphisms andmaps preserving spectra of certain operator products, StudiaMath. 184 (2008), 31–47.I (484) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (485) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

148


[275] J. Hou, C.K. Li and N.C. Wong, Maps preserving the spec-trum of generalized Jordan product of operators, Linear AlgebraAppl. 432 (2010), 1049–1069.I (487) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[276] J. Hou and X. Zhang, Ring isomorphisms and linear or additivemaps preserving zero products on nest algebras, Linear AlgebraAppl. 387 (2004), 343–360.I (488) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[277] F.G. Hu, Multiplicative maps on matrices preserving the Frobe-nius norm, J. Hubei Inst. National. Nat. Sci. 25 (2007), 268–271.I (489) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (490) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[278] L. Huang, L. Chen and F. Lu, Characterizations of automor-phisms of operator algebras on Banach spaces, J. Math. Anal.Appl. 430 (2015), 144–151.I (491) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.

[279] L. Huang, Y. Liu, Maps completely preserving commutativityand maps completely preserving Jordan zero-product, Linear Al-gebra Appl. 462 (2014), 233–249.I (492) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (493) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (494) L. Molnar and W. Timmermann, Transformations onbounded observables preserving measure of compatibility, Int. J.Theor. Phys. 50 (2011), 3857–3863.

149

[280] L. Huang, Z.F. Lu and J.L. Li, Additive maps completely pre-serving skew idempotency between standard operator algebras,Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of NorthUniversity of China (Natural Science Edition) 32 (2011), 71–73.I (495) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[281] Z. Huang, Weakening the conditions in some classical theo-rems on linear preserver problems, Linear Multilinear Alg., toappear.I (496) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[282] D. Huo, B. Zheng, J. Xua and H. Liu, Nonlinear mappingspreserving Jordan multiple ∗ product on factor von Neumannalgebras, Linear Multilinear Alg. 63 (2015), 1026–1036.I (497) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[283] D. Ilisevic, Molnar-dependence in a pre-Hilbert module over anH∗-algebra, Acta Math. Hungar. 101 (2003), 69–78.I (498) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.

[284] D. Ilisevic, Equations arising from Jordan *-derivation pairs,Aequationes Math. 67 (2004), 236–240.I (499) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[285] D. Ilisevic, Quadratic functionals on modules over complex Ba-nach *-algebras with an approximate identity, Studia Math. 171(2005), 103–123.I (500) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[286] D. Ilisevic, Quadratic functionals on modules over alternative*-rings, Studia Sci. Math. Hung. 42 (2005), 459–469.I (501) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[287] D. Ilisevic, Generalized bicircular projections via the operatorequation αX2AY 2 +βXAY +A = 0, Linear Algebra Appl. 429(2008), 2025–2029.

150

I (502) L. Molnar and P. Semrl, Order isomorphisms and tripleisomorphisms of operator ideals and their reflexivity, Arch.Math. 69 (1997), 497–506.I (503) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.I (504) V. Mascioni and L. Molnar, Linear maps on factorswhich preserve the extreme points of the unit ball, Canad. Math.Bull. 41 (1998), 434–441.

[288] D. Ilisevic and A. Turnsek, Stability of the Wigner equation -a singular case, J. Math. Anal. Appl. 429 (2015), 273-287.I (505) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

[289] D. Ilisevic and A. Turnek, A quantitative version of Hersteinstheorem for Jordan *-isomorphisms, Linear Multilinear Alg., toappear.I (506) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

[290] D. Ilisevic and S. Varosanec, Gruss type inequalitiesin innerproduct modules, Proc. Amer. Math. Soc. 133 (2005), 3271–3280.I (507) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.

[291] K. Jarosz and T.S.S.R.K. Rao, Local isometries of functionspaces, Math. Z. 243 (2003), 449–469.I (508) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (509) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (510) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.I (511) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (512) L. Molnar, Reflexivity of the automorphism and isometrygroups of C∗-algebras in BDF theory, Arch. Math. 74 (2000),120–128.

151

I (513) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[292] A.T. Jelodar, M.S. Moslehian and A. Sanami, A ternary char-acterization of automorphisms of B(H), Nihonkai Math. J. 21(2010), 1–9.I (514) L. Molnar and P. Semrl, Order isomorphisms and tripleisomorphisms of operator ideals and their reflexivity, Arch.Math. 69 (1997), 497–506.I (515) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (516) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (517) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[293] G. Ji and Y. Gao, Maps preserving operator pairs whose prod-ucts are projections, Linear Algebra Appl. 433 (2010), 1348–1364.I (518) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (519) L. Molnar, Maps on states preserving the relative en-tropy, J. Math. Phys. 49 (2008), 032114.

[294] P. Ji, Additivity of Jordan maps on Jordan algebras, LinearAlgebra Appl. 431 (2009), 179-188.I (520) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[295] P. Ji and Z. Liu, Additivity of Jordan maps on standard Jordanoperator algebras, Linear Algebra Appl. 430 (2009), 335–343.I (521) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[296] P. Ji, W. Qi, Z. Qin, Multiplicative Jordan triple isomorphismson Jordan algebras, J. Shandong Univ. Nat. Sci. Ed. 44 (2009),1–3.

152

I (522) L. Molnar, Multiplicative Jordan triple isomorphisms onthe self-adjoint elements of von Neumann algebras, Linear Al-gebra Appl. 419 (2006), 586–600.

[297] P. Ji, L. Sun, J. Chen, Jordan multiplicative isomorphisms onspin factors, J. Shandong Univ. Nat. Sci. Ed. 46 (2011), 1–3.I (523) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[298] P. Ji and J. Yu, Maps on AF C∗-algebras, J. Math. (Wuhan)26 (2006), 53–57.I (524) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (525) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (526) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.

[299] P.S. Ji and C.P. Wei, Isometries and 2-local isometries on Car-tan bimodule algebras in hyperfinite factors of type II1, ActaMath. Sinica. 49 (2006), 51–58.I (527) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.

[300] Jian, K. H, Q. Yuan and F. Wang, On partially trace distancepreserving maps and reversible quantum channels, J. AppliedMath. (2013), Article ID 474291, 5 pagesI (528) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (529) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.I (530) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.

[301] M. Jiao, Maps preserving commutativity up to a factor on stan-dard operator algebras, Journal of Mathematical Research withApplications 33 (2013), 708–716.I (531) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

153

I (532) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[302] M. Jiao and X. Qi, Additive maps preserving commutativity upto a factor on nest algebras, Linear Multilinear Alg. 63 (2015),1242–1256.I (533) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[303] A. Jimenez-Vargas, Linear bijections preserving the Holderseminorm, Proc. Amer. Math. Soc. 135 (2007), 2539–2547.I (534) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[304] A. Jimenez-Vargas, A.M. Campoy and M. Villegas-Vallecillos,Algebraic reflexivity of the isometry group of some spaces ofLipschitz functions, J. Math. Anal. Appl. 366 (2010), 195–201.I (535) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (536) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (537) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.

[305] A. Jimenez-Vargas, K. Lee, A. Luttman and M. Villegas-Vallecillos, Generalized weak peripheral multiplicativity in al-gebras of Lipschitz functions, Cent. Eur. J. Math. 11 (2013),1197–1211.I (538) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[306] A. Jimenez-Vargas, A. Luttman and M. Villegas-Vallecillos,Weakly peripherally multiplicative surjections of pointed Lips-chitz algebras, Rocky Mountain J. Math. 40 (2010), 1903–1922.I (539) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[307] A. Jimenez-Vargas and M.A. Navarro, Holder seminorm pre-serving linear bijections and isometries, Proc. Indian Acad. Sci.(Math. Sci.) 119 (2009), 53-62.

154

I (540) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[308] A. Jimenez-Vargas and M. Villegas-Vallecillos, Lipschitz alge-bras and peripherally-multiplicative maps, Acta Math. Sinica 24(2008), 1233–1242.I (541) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[309] A. Jimenez Vargas and M. Villegas Vallecillos, 2-local isome-tries on spaces of Lipschitz functions, Canad. Math. Bull. 54(2011), 680–692.I (542) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (543) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (544) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[310] W. Jing, P. Li and S. Lu, Additive mappings that preserve rankone nilpotent operators, Linear Algebra Appl. 367 (2003), 213–224.I (545) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[311] W. Jing and F. Lu, Additivity of Jordan (triple) derivations onrings, Linear and Multilinear Algebra 40 (2012), 2700–2719.I (546) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[312] W. Jing and S.J. Lu, Topological reflexivity of the spacesof (α, β)-derivations on operator algebras, Studia Math. 156(2003), 121–131.I (547) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (548) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (549) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.

155

[313] W. Jing, S. Lu and G. Han, On topological reflexivity of thespaces of derivations on operator algebras, Appl. Math. J. Chi-nese Univ. Ser. A 17 (2002), 75–79.I (550) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (551) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.

[314] D.J. Keckic Cyclic kernels of elementary operators on a reflex-ive Banach space, Linear Algebra Appl. 438 (2013), 2628–2633.I (552) L. Molnar and P. Semrl, Elementary operators on self-adjoint operators, J. Math. Anal. Appl. 327 (2007), 302–309.

[315] S.O. Kim, Linear maps preserving ideals of C∗-algebras, Proc.Amer. Math. Soc. 129 (2001), 1665–1668.I (553) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[316] S.O. Kim, Automorphisms of Hilbert space effect algebras, Lin-ear Algebra Appl. 402 (2005), 193–198.I (554) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (555) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (556) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (557) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (558) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[317] S.O. Kim and J.S. Kim, Local automorphisms and derivationson Mn, Proc. Amer. Math. Soc. 132 (2004), 1389–1392.I (559) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (560) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[318] S.O. Kim and J.S. Kim, Local automorphisms and derivationson certain C∗-algebras, Proc. Amer. Math. Soc. 133 (2005),3303-3307.

156

I (561) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.I (562) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[319] S.O. Kim and C. Park, Additivity of Jordan triple producthomomorphisms on generalized matrix algebras, Bull. KoreanMath. Soc. 50 (2013), 2027–2034.I (563) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (564) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[320] B. Kolodziejek, The Lukacs-Olkin-Rubin theorem on symmet-ric cones through Gleason’s theorem, Studia Math. 217 (2013),1–17.I (565) L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Hermitianmatrices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.

[321] B. Kolodziejek, Multiplicative Cauchy functional equation onsymmetric cones, Aequat. Math. 89 (2015), 1075–1094.I (566) L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Hermitianmatrices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.

[322] B. Kolodziejek, Lukacs-Olkin-Rubin theorem on symmetriccones without invariance of the ”quotient”, J. Theor. Probab.,to appear.I (567) L. Molnar, A remark to the Kochen-Specker theorem andsome characterizations of the determinant on sets of Hermitianmatrices, Proc. Amer. Math. Soc., 134 (2006) 2839–2848.

[323] I. Kosi-Ulbl and J. Vukman, An identity related to deriva-tions of standard operator algebras and semisimple H∗-algebras,CUBO A Math. J. 12 (2010), 95–102.I (568) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[324] G.K. Kumar and S.H. Kulkarni, Linear maps preserving pseu-dospectrum and condition spectrum, Banach J. Math. Anal. 6(2012), 45-60.I (569) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

157

[325] D.L.W. Kuo, M.C. Tsai, N.C. Wong and J. Zhang, Maps pre-serving Schatten p-norms of convex combinations, Abstr. Appl.Anal. (2014), Article ID 520795, 5 pp.I (570) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (571) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[326] B. Kuzma, Additive mappings preserving rank-one idempo-tents, Acta Math. Sin. 21 (2005), 1399–1406.I (572) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[327] P. Lahti, M. Maczynski and K. Ylinen, Unitary and antiunitaryoperators mapping vectors to paralell or to orthogonal ones, withapplications to symmetry transformations, Lett. Math. Phys.55 (2001), 43–51.I (573) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.

[328] S. Lambert, A. Luttman and T. Tonev, Weakly peripherally-multiplicative mappings between uniform algebras, in FunctionSpaces, K. Jarosz, Edt. Contemporary Mathematics vol. 435,American Mathematical Society, 2007, pp. 265–282.I (574) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[329] K. Lee, Characterizations of peripherally multiplicative map-pings between real function algebras, Publ. Math. (Debrecen)Publ. Math. Debrecen 84 (2014), 379–397.I (575) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[330] K. Lee, A multiplicative Banach-Stone theorem, in FunctionSpaces in Analysis, K. Jarosz, Edt. Contemporary Mathematicsvol. 645, American Mathematical Society, 2015, pp. 191–198.I (576) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

158

[331] K. Lee and A. Luttman, Generalizations of weakly peripherallymultiplicative maps between uniform algebras, J. Math. Anal.Appl. 375 (2011), 108–117.I (577) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[332] P. Legisa, Automorphisms of Mn partially ordered by the starorder, Linear Multilinear Alg. 54 (2006), 157–188.I (578) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[333] Z. Leka, A note on central moments in C∗-algebras, J. Math.Ineq. 9 (2015), 165–175.I (579) L. Molnar, Linear maps on observables in von Neumannalgebras preserving the maximal deviation, J. London Math.Soc. 81 (2010), 161–174.

[334] B. Lemmens and C. Walsh, Isometries of Polyhedral Hilbertgeometries, J. Topol. Anal. 3 (2011), 213–241.I (580) L. Molnar, Thompson isometries of the space of invert-ible positive operators, Proc. Amer. Math. Soc. 137 (2009),3849–3859.

[335] G. Lesnjak and N.S. Sze, On injective Jordan semi-triple mapsof matrix algebras, Linear Algebra Appl. 414 (2006), 383–388.I (581) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[336] C.W Leung, C.K. Ng and N.C. Wong, Linear orthogonality pre-servers of Hilbert C∗-modules, J. Operator Theory 71 (2014),571–584.I (582) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (583) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[337] C.W. Leung, C.W. Tsai and N.C. Wong, Linear disjointnesspreservers of W ∗-algebras, Math. Z. 270 (2012), 699–708.I (584) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

159

[338] C. Li, F. Lu and X. Fang, Nonlinear mappings preserving prod-uct XY +Y X∗ on factor von Neumann algebras, Linear AlgebraAppl. 438 (2013) 2339-2345.I (585) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[339] C. Li, F. Lu and X. Fang, Non-linear ξ-Jordan *-derivationson von Neumann algebras, Linear Multilinear Alg. 62 (2014),466–473.I (586) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[340] C.K. Li and E. Poon, Schur product of matrices and numericalradius (range) preserving maps, Linear Alg. Appl. 424 (2007),8–24.I (587) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[341] C.K. Li and L. Rodman, Preservers of spectral radius, numeri-cal radius, or spectral norm of the sum on nonnegative matrices,Linear Algebra Appl. 430 (2009), 1739–1761.I (588) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[342] C.K. Li, P. Semrl, L. Plevnik, Preservers of matrix pairs witha fixed inner product value, Oper. Matrices 6 (2012), 433–464.I (589) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[343] C.K. Li, P. Semrl and N.S. Sze, Maps preserving the nilpotencyof products of operators, Linear Alg. Appl. 424 (2007), 222-239.I (590) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (591) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[344] J. Li, Applications of Wigner’s theorem to positive maps pre-serving norm of operator products, J. Math. Study 37 (2004),11–16.I (592) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

160

I (593) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[345] J. Li, Applications of Wigner’s theorem to positive maps pre-serving norm of operator products, Front. Math. China 1 (2006),582–588.I (594) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (595) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[346] P. Li, Elementary maps on nest algebras, J. Math. Anal. Appl.320 (2006), 174–191.I (596) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (597) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[347] P. Li and W. Jing, Jordan elementary maps on rings, LinearAlgebra Appl. 382 (2004), 237–245.I (598) M. Bresar, L. Molnar and P. Semrl, Elementary opera-tors II, Acta Sci. Math. (Szeged) 66 (2000), 769–791. I (599) L.Molnar, On isomorphisms of standard operator algebras, StudiaMath. 142 (2000), 295–302.I (600) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[348] P. Li and F. Lu, Elementary operators on J -subspace latticealgebras, Bull. Austral Math. Soc. 68 (2003), 395–404.I (601) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (602) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[349] P. Li and F. Lu, Additivity of elementary maps on rings, Com-mun. Alg. 32 (2004), 3725-3737.I (603) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (604) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

161

[350] P. Li and F. Lu, Additivity of Jordan elementary maps on nestalgebras, Linear Algebra Appl. 400 (2005), 327–338.I (605) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (606) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (607) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.I (608) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[351] P. Li and F. Lu, Jordan elementary operators on J -subspacelattice algebras algebras, Linear Algebra Appl., 428 (2008),2675–2687.I (609) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (610) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[352] Y. Li and P. Busch, Von Neumann entropy and majorization,J. Math. Anal Appl. 408 (2013), 384–393.I (611) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.

[353] Y. Li and Z. Xiao, Additivity of maps on generalized matrixalgebras, Electron. J. Linear Algebra 22 (2011), 743–757.I (612) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[354] P.K. Liau, W.L. Huang and C.K. Liu, Nonlinear strong com-mutativity preserving maps on skew elements of prime ringswith involution, Linear Algebra Appl. 436 (2012), 3099-3108.I (613) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (614) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

162

[355] J.S Lin and C.K Liu, Strong commutativity preserving maps inprime rings with involution, Linear Algebra Appl. 432 (2010),14–23.I (615) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[356] Y.F. Lin and T.L. Wong, A note on 2-local maps, Proc. Edin-burgh Math. Soc. 49 (2006), 701–708.I (616) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (617) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (618) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (619) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (620) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (621) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[357] Z. Ling and F. Lu, Jordan maps of nest algebras, Linear Alge-bra Appl. 387 (2004), 361–368.I (622) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[358] C.K. Liu, Strong commutativity preserving generalized deriva-tions on right ideals, Monatsh. Math. 166 (2012), 453–465.I (623) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[359] C.K. Liu and P.K Liau, Strong commutativity preserving gen-eralized derivations on Lie ideals, Linear Multilinear Algebra59 (2011), 905–915.I (624) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

163

[360] C.K. Liu and W.Y. Tsai, Jordan isomorphisms of upper trian-gular matrix rings, Linear Algebra Appl. 426 (2007), 143–148.I (625) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[361] J.H. Liu and N.C. Wong, 2-local automorphisms of operatoralgebras, J. Math. Anal. Appl. 321 (2006), 741–750.I (626) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[362] J.H. Liu, N.C. Wong, Local automorphisms of operator alge-bras, Taiwanese J. Math. 11 (2007), 611–619.I (627) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (628) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.

[363] L. Liu, Strong commutativity preserving maps on von Neumannalgebras, Linear Multilinear Alg. 63 (2015), 490–496.I (629) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[364] F. Lu, Multiplicative mappings of operator algebras, Linear Al-gebra Appl. 347 (2002), 283–291.I (630) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (631) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[365] F. Lu, Additivity of Jordan maps on standard operator algebras,Linear Algebra Appl. 357 (2002), 121–131.I (632) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[366] F. Lu, Jordan maps on associative algebras, Commun. Algebra31 (2003), 2273–2286.I (633) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

164

[367] F. Lu, Jordan triple maps, Linear Algebra Appl. 375 (2003),311–317.I (634) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (635) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[368] F. Lu, Jordan derivable maps of prime rings, Commun. Alge-bra 38 (2010), 4430–4440.I (636) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[369] F. Lu and B. Liu, Lie derivable maps on B(X), J. Math. Anal.Appl. 372 (2010), 369-376.I (637) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (638) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[370] F. Lu and J. Xie, Multiplicative mappings of rings, Acta Math.Sinica 22 (2006), 1017–1020.I (639) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.I (640) L. Molnar, Multiplicative maps on ideals of operatorswhich are local automorphisms, Acta Sci. Math. (Szeged) 65(1999), 727–736.

[371] A. Luttman and S. Lambert, Norm conditions for uniform al-gebra isomorphisms, Cent. Europ. J. Math., 6 (2008), 272–280.I (641) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[372] A. Luttman and T. Tonev, Uniform algebra isomorphisms andperipheral multiplicativity, Proc. Amer. Math. Soc. 135 (2007),3589–3598.I (642) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[373] L. Maccone, Information-disturbance tradeoff in quantum mea-surements, Phys. Rev. A 73 (2006), 042307.

165

I (643) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.

[374] M. Maczynski and E. Scheffold, On elementary operators oflength 1 and some order intervals in Bs(H), Acta Sci. Math.(Szeged) 70 (2004), 405–417.I (644) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (645) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.

[375] H.A. Mahdi and A.H. Majeed, Derivable maps of prime rings,Iraqi J. Sci. 54 (2013), 191–194.I (646) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[376] Abdul-Rahman H. Majeed and A.H. Mahmood, Dependent el-ements of biadditive mappings on semiprime rings, Journal ofAl-Nahrain University 18 (2015),141–148.I (647) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[377] Gy. Maksa and Zs. Pales, Wigner’s theorem revisited, Publ.Math. (Debrecen) 81 (2012), 243–249.I (648) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (649) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (650) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (651) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (652) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (653) L. Molnar, A Wigner-type theorem on symmetry trans-formations in Banach spaces, Publ. Math. (Debrecen) 58(2000), 231–239.I (654) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

166

[378] A. Maouche, Spectrum preserving mappings in Banach alge-bras, Far East J. Math. Sci. 21 (2006), 27–31.I (655) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[379] M. Marciniak, On extremal positive maps acting between typeI factors, M. Bozejko (ed.) et al., Noncommutative harmonicanalysis with applications to probability. II: Banach CenterPubl. 89 (2010), 201–221.I (656) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.

[380] L.W. Marcoux, H. Radjavi and A.R. Sourour, Multiplicativemaps that are close to an automorphism on algebras of lineartransformations, Studia Math. 214 (2013), 279–296.I (657) L. Molnar, Some multiplicative preservers on B(H), Lin-ear Algebra Appl. 301 (1999), 1–13.

[381] J. Marovt, Order preserving bijections of C(X , I), J. Math.Anal. Appl. 311 (2005), 567–581.I (658) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (659) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (660) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (661) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.I (662) E. Kovacs and L. Molnar, Preserving some numericalcorrespondences between Hilbert space effects, Rep. Math. Phys.54 (2004), 201–209.

[382] J. Marovt, Multiplicative bijections of C(X , I), Proc. Amer.Math. Soc. 134 (2006), 1065–1075.I (663) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.

[383] J. Marovt, Affine bijections of C(X , I), Studia Math. 173(2006), 295–309.

167

I (664) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (665) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (666) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (667) L. Molnar and E. Kovacs, An extension of a character-ization of the automorphisms of Hilbert space effect algebras,Rep. Math. Phys. 52 (2003), 141–149.I (668) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.I (669) E. Kovacs and L. Molnar, Preserving some numericalcorrespondences between Hilbert space effects, Rep. Math. Phys.54 (2004), 201–209.

[384] J. Marovt, Order preserving bijections of C+(X), Taiwanese J.Math. 14 (2010), 667–673.I (670) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (671) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (672) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.I (673) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (674) L. Molnar and W. Timmermann, Transformations onthe sets of states and density operators, Linear Algebra Appl.418 (2006), 75–84.

[385] J. Marovt and T. Petek, Automorphisms of Hilbert spaceeffect algebras equipped with Jordan triple product, the two-dimensional case, Publ. Math. (Debrecen) 66 (2005), 245-250.I (675) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.

[386] M. Mathieu, Elementary operators on Calkin algebras, IrishMath. Soc. Bulletin 46 (2001), 33–42.I (676) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.

168

[387] M. Mbekhta, V. Mller and M. Oudghiri, Additive preservers ofthe ascent, descent and related subsets, J. Operator Theory 71(2014), 63–83.I (677) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[388] Q. Meng, Z. Xu, Automorphisms and local automorphisms ofpositive cones, J. Qufu Norm. Univ. Nat. Sci. Ed. 1 (2010),41–43.I (678) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (679) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (680) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (681) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.

[389] T. Miura, A representation of ring homomorphisms on commu-tative Banach algebras, Scient. Math. Japon. 53 (2001), 515–523.I (682) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[390] T. Miura, A representation of ring homomorphisms on unitalregular commutative Banach algebras, Math. J. Okoyama Univ.44 (2002), 143–153.I (683) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[391] T. Miura, D. Honma A generalization of peripherally-multiplicative surjections between standard operator algebras,Cent. Eur. J. Math. 7 (2009), 479–486.I (684) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (685) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

169

[392] T. Miura, D. Honma and R. Shindo, Divisibly norm-preservingmaps between commutative Banach algebras, Rocky MountainJ. Math. 41 (2011), 1675–1699.I (686) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[393] T. Miura and S. Takahasi, Ring homomorphisms on real Ba-nach algebras, Int. J. Math. Math. Sci. 48 (2003), 3025–3030.I (687) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[394] T. Miura, S.E. Takahasi and N. Niwa Prime ideals and complexring homomorphisms on a commutative algebra, Publ. Math.(Debrecen) 70 (2006), 453–460.I (688) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[395] T. Miura, S.E. Takahasi and N. Niwa Ring homomorphismson commutative regular Banach algebras, Nihonkai Math. J. 19(2008), 61–74.I (689) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.I (690) L. Molnar, Automatic surjectivity of ring homomor-phisms on H∗-algebras and algebraic differences among somegroup algebras of compact groups, Proc. Amer. Math. Soc. 128(2000), 125–134.

[396] T. Miura, S.E. Takahasi, N. Niwa and H. Oka, On surjectivering homomorphisms between semi-simple commutative Banachalgebras, Publ. Math. (Debrecen) 73 (2008), 119–131.I (691) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[397] T. Miura and T. Tonev, Mappings onto multiplicative subsetsof function algebras and spectral properties of their products,Ark. Mat. 53 (2015), 329–358.I (692) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[398] G. Nagy, Commutativity preserving maps on quantum states,Rep. Math. Phys. 63 (2009), 447–464.

170

I (693) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.I (694) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.I (695) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[399] G. Nagy, Isometries on positive operators ofunit norm, Publ.Math. (Debrecen) 82 (2013), 183–192.I (696) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.I (697) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[400] G. Nagy, Preservers for the p-norm of linear combinations ofpositive operators, Abstr. Appl. Anal., Volume 2014, Article ID434121, 9 pages.I (698) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.I (699) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (700) L. Molnar and W. Timmermann, Maps on quantumstates preserving the Jensen-Shannon divergence, J. Phys. A:Math. Theor. 42 (2009), 015301.

[401] G. Nagy, Isometries of the spaces of self-adjoint traceless op-erators, Linear Algebra Appl. 484 (2015), 1–12.I (701) L. Molnar and M. Barczy, Linear maps on the space ofall bounded observables preserving maximal deviation, J. Funct.Anal. 205 (2003), 380–400.I (702) F. Botelho, J. Jamison and L. Molnar, Surjective isome-tries on Grassmann spaces, J. Funct. Anal. 265 (2013), 2226–2238.

[402] M. Najafi Tavani, Peripherally multiplicative operators on uni-tal commutative Banach algebras, Banach J. Math. Anal. 9(2015), 75–84.I (703) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

171

[403] J.C. Navarro Pascual and M.G. Sanchez Lirola, Diameter, ex-treme points and topology, Studia Math. 191 (2009), 203–209.I (704) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[404] T.W. Palmer, Banach Algebras and the General Theory of *-Algebras, vol. II., Cambridge University Press, 2001.I (705) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.I (706) L. Molnar, ∗-representations of the trace-class of an H∗-algebra, Proc. Amer. Math. Soc. 115 (1992), 167–170.I (707) L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656.I (708) L. Molnar, The range of a Jordan *-derivation on anH∗-algebra, Acta Math. Hung. 72 (1996), 261–267.

[405] F.F. Pan, The characterization of the local linear mappings onthe subalgebra of matrix algebra M3(C), J. Xi’an Univ. Post andTelecomm., 11 (2006), 121–124.I (709) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.

[406] Y. Pang and W. Yang, Elementary operators on strongly dou-ble triangle subspace lattice algebras, Linear Algebra Appl. 433(2010), 1678-1685.I (710) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (711) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.I (712) L. Molnar and P. Semrl, Elementary operators on self-adjoint operators, J. Math. Anal. Appl. 327 (2007), 302–309.

[407] V. Pavlovic, Remarks and comments on some recent results,Filomat 29 (2015), 1039–1041.I (713) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

A.M. Peralta, A note on 2-local representations of C∗-algebras,Operators and Matrices, to appear.I (714) C.J.K. Batty and L. Molnar, On topological reflexivityof the groups of *-automorphisms and surjective isometries ofB(H), Arch. Math. 67 (1996), 415–421.

172

I (715) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (716) L. Molnar, 2-local isometries of some operator algebras,Proc. Edinb. Math. Soc. 45 (2002), 349–352.I (717) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.I (718) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[408] T. Petek, Spectrum and commutativity preserving mappings ontriangular matrices, Linear Algebra Appl. 357 (2002), 107–122.I (719) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[409] F. Pop, On local representations of von Neumann algebras,Proc. Amer. Math. Soc. 132 (2004), 3569–3576.I (720) L. Molnar and P. Semrl, Local automorphisms of theunitary group and the general linear group on a Hilbert space,Expo. Math. 18 (2000), 231–238.I (721) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[410] S. Pulmannova, Tensor products of Hilbert space effect alge-bras, Rep. Math. Phys. 53 (2004), 301–316.I (722) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.

[411] J. Qi, G. Ji, Linear maps preserving idempotency of products ofmatrices on upper triangular matrix algebras, Commun. Math.Res. 25 (2009), 253–264.I (723) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[412] X.F. Qi, Characterization of centralizers on rings and operatoralgebras, Acta Math. Sin. 56 (2013), 459–468.I (724) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[413] X.F. Qi, S.P. Du and J.C. Hou, Two kinds of additive mapson operator algebras, J. Shanxi Normal Univ. Nat. Sci. Ed. 20(2006), 1-3.

173

I (725) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[414] X. Qi, S. Du and J. Hou, Characterization of centralizers, ActaMath. Sin., Chin. Ser. 51 (2008), 509–516.I (726) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[415] X.F. Qi and J.C. Hou, Nonlinear strong commutativity pre-serving maps on prime rings, Comm. Algebra 38 (2010), 2790–2796.I (727) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[416] X. Qi and J. Hou, Additivity of Lie multiplicative maps ontriangular algebras Linear Multilinear Algebra 59 (2011), 391–397.I (728) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[417] X.F. Qi and J.C. Hou, Strong commutativity preserving mapson triangular rings, Oper. Matrices 6 (2012), 147–158.I (729) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[418] X. Qi and J. Hou, Strong skew commutativity preserving mapson von Neumann algebras, J. Math. Anal. Appl. 397 (2012),362–370.I (730) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

[419] X. Qi and J. Hou, Characterizing centralizers and generalizedderivations on triangular algebras by acting on zero product,Acta Math. Sin., Eng. Ser. 29 (2013), 1245–1256.I (731) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[420] J. Qian and P. Li, Additivity of Lie maps on operator algebras,Bull. Korean Math. Soc. 44 (2007), 271–279.I (732) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (733) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

174

I (734) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.I (735) L. Molnar, Non-linear Jordan triple automorphisms ofsets of self-adjoint matrices and operators, Studia Math. 173(2006), 39–48.

[421] F. Qu, A class of bijective maps preserving *-multiplicativityon B(H), J. Baoji College Arts Sci. Nat. Sci. 29 (2009), 13–15.I (736) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.

[422] M. Radjabalipour, Additive mappings on von Neumann al-gebras preserving absolute values, Linear Algebra Appl. 368(2003), 229–241.I (737) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (738) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.I (739) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[423] M. Radjabalipour, K. Seddighi and Y. Taghavi, Additive map-pings on operator algebras preserving absolute values, LinearAlgebra Appl. 327 (2001), 197–206.I (740) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[424] M. Radjabalipour and Y. Taghavi, Characterisations of *-ho-momorphisms of B(H) into B(K), Proceedings of the 31st Ira-nian Mathematics Conference (Tehran, 2000), 275–281, Univ.Tehran, Tehran, 2000.I (741) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[425] M. Radjabalipour and P. Torabian, On nonlinear preservers ofweak matrix majorization, Bull. Iranian Math. Soc. 32 (2006),21–30.

175

I (742) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

[426] H. Radjavi and P. Semrl, Linear maps preserving quasi-commutativity, Studia Math. 184 (2008), 191–204.I (743) L. Molnar, Linear maps on matrices preserving commu-tativity up to a factor, Linear Multilinear Algebra 57 (2008),13–18.

[427] N.V. Rao and A.K. Roy, Multiplicatively spectrum-preservingmaps of function algebras, Proc. Amer. Math. Soc. 133 (2005),1135–1142.I (744) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[428] N.V. Rao and A.K. Roy, Multiplicatively spectrum-preservingmaps of function algebras II, Proc. Edinb. Math. Soc. 48 (2005),219–229.I (745) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[429] N.V. Rao, T.V. Tonev and E.T. Toneva, Uniform algebra iso-morphisms and peripheral spectra, In: Topological Algebras(Eds. A. Malios and M. Haralampidu), Contemporary Math.427 (2007), 401–416.I (746) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[430] T.S.S.R.K. Rao, Local surjective isometries of function spaces,Expositiones Math. 18 (2000), 285–296.I (747) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

[431] T.S.S.R.K. Rao, Some generalizations of Kadison’s theorem:A survey, Extracta Math. 19 (2004), 319–334.I (748) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (749) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.

176

I (750) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (751) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (752) L. Molnar, Preserver Problems on Algebraic Structuresof Linear Operators and on Function Spaces, Dissertation forthe D.Sc. degree of the Hungarian Academy of Sciences, 241pages, 2004.

[432] T.S.S.R.K. Rao, Local isometries of L(X,C(K)), Proc. Amer.Math. Soc. 133 (2005), 2729-2732.I (753) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (754) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (755) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.I (756) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.I (757) L. Molnar, Preserver Problems on Algebraic Structuresof Linear Operators and on Function Spaces, Dissertation forthe D.Sc. degree of the Hungarian Academy of Sciences, 241pages, 2004.

[433] T.S.S.R.K. Rao, A note on the algebraic reflexivity of the groupof surjective isometries of K(C(K)), Expo. Math. 26 (2008),79-83.I (758) L. Molnar and B. Zalar, Reflexivity of the group of sur-jective isometries on some Banach spaces, Proc. Edinb. Math.Soc. 42 (1999), 17–36.I (759) F. Cabello Sanchez and L. Molnar, Reflexivity of theisometry group of some classical spaces, Rev. Mat. Iberoam.18 (2002), 409–430.

[434] T.S.S.R.K. Rao, Nice surjections on spaces of operators, Proc.Indian Acad. Sci. (Math. Sci.) 116 (2006), 401–409.I (760) V. Mascioni and L. Molnar, Linear maps on factorswhich preserve the extreme points of the unit ball, Canad. Math.Bull. 41 (1998), 434–441.

177

[435] T.S.S.R.K. Rao and A.K. Roy, Diameter preserving linear bi-jections of functions spaces, J. Austral. Math. Soc. 70 (2001),323–335.I (761) M. Gyory and L. Molnar, Diameter preserving linearbijections of C(X), Arch. Math. 71 (1998), 301–310.

[436] N. ur Rehman, Jordan triple (α, β)∗-derivations on semiprimerings with involution, Hacettepe J. Math. Stat. 42 (2013), 641–651.I (762) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[437] M.A. Rieffel, Standard deviation is a strongly Leibniz semi-norm, New York J. Math., 20 (2014), 35–56.I (763) L. Molnar, Linear maps on observables in von Neumannalgebras preserving the maximal deviation, J. London Math.Soc. 81

[438] A. Rivas, S.F. Huelga and M. Plenio, Quantum non-Markovianity: characterization, quantification and detection,Rep. Progr. Phys. 77 (2014), 094001, 26 pp.I (764) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.

[439] L. Rodman and P. Semrl, Orthogonality preserving bijectivemaps on real and complex projective spaces, Linear and Multi-linear Alg. 54 (2006), 355–367.I (765) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (766) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[440] L. Rodman and P. Semrl, Orthogonality preserving bijectivemaps on finite dimensional projective spaces over division rings,Linear and Multilinear Alg. 56 (2008), 647-664.I (767) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (768) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[441] L. Rodman and P. Semrl, Preservers of generalized orthogo-nality on finite dimensional real vector and projective spaces,Linear and Multilinear Alg. 57 (2009), 839–858.

178

I (769) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (770) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[442] A. Sanami, A characterization of the Helmholtz free energy, J.Math. Phys. 54 (2013), 053301.I (771) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.

[443] A. Sanami, A characterization of the entropy-Gibbs transfor-mations, Iran. J. Math. Chem. 5 (2014), 69–75.I (772) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.

[444] K. Seddighi and Y. Taghavi, Mappings on spaces of continuousfunctions, Southeast Asian Bull. Math. 24 (2000), 287–295.I (773) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[445] P. Semrl, Generalized symmetry transformations on quater-nionic indefinite inner product spaces: An extension of quater-nionic version of Wigner’s theorem, Commun. Math. Phys. 242(2003), 579–584.I (774) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (775) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[446] P. Semrl, Orthogonality preserving transformations on the setof n-dimensional subspaces of a Hilbert space, Illinois J. Math.48 (2004), 567–573.I (776) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

[447] P. Semrl, Order-preserving maps on the poset of idempotentmatrices, Acta Sci. Math. (Szeged) 69 (2003), 481–490.

179


[448] P. Semrl, Applying projective geometry to transformations onrank one idempotents, J. Funct. Anal. 210 (2004), 248–257.I (778) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (779) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[449] P. Semrl, Non-linear commutativity preserving maps, Acta Sci.Math. (Szeged) 71 (2005), 781–819.I (780) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[450] P. Semrl, Maps on idempotents, Studia Math. 169 (2005), 21–44.I (781) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (782) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (783) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (784) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[451] P. Semrl, Maps on idempotent matrices over division rings, J.Algebra 298 (2006), 142–187.I (785) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (786) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[452] P. Semrl, Maps on matrix spaces, Linear Algebra Appl. 413(2006), 364–393.

180

I (787) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (788) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.I (789) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (790) L. Molnar, A Wigner-type theorem on symmetry trans-formations in Banach spaces, Publ. Math. (Debrecen) 58(2000), 231–239.I (791) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (792) L. Molnar, *-semigroup endomorphisms of B(H), in I.Gohberg et al. (Edt.), Operator Theory: Advances and Appli-cations, Vol. 127, pp. 465–472, Birkhauser, 2001.I (793) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.I (794) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[453] P. Semrl, Maps on matrix and operator algebras, Jahresber.Deutsch. Math.-Verein. 108 (2006), 91–103.I (795) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[454] P. Semrl, Maps on idempotent operators, Banach Cent. Publ.75 (2007), 289–301.I (796) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (797) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (798) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (799) L. Molnar, A Wigner-type theorem on symmetry trans-formations in type II factors, Int. J. Theor. Phys. 39 (2000),1463–1466.

181

I (800) L. Molnar, A Wigner-type theorem on symmetry trans-formations in Banach spaces, Publ. Math. (Debrecen) 58(2000), 231–239.I (801) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (802) L. Molnar, *-semigroup endomorphisms of B(H), in I.Gohberg et al. (Edt.), Operator Theory: Advances and Appli-cations, Vol. 127, pp. 465–472, Birkhauser, 2001.I (803) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[455] P. Semrl, Linear Preserver Problems, In Handbook of LinearAlgebra (L. Hogben edt.) Discrete Mathematics and its Appli-cations, Chapman and Hall, 2007, 22-1.I (804) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.

[456] P. Semrl, Non-linear commutativity preserving maps on her-mitian matrices, Proc. Roy. Soc. Edinburgh Sect. A 138 (2008),157–168.I (805) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.

[457] P. Semrl, Comparability preserving maps on bounded observ-ables, Integral Equations Operator Theory 62 (2008), 441–454.I (806) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (807) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[458] P. Semrl, Local automorphisms of standard operator algebras,J. Math. Anal. Appl. 371 (2010), 403–406.I (808) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[459] P. Semrl Symmetries on bounded observables - a unified ap-proach based on adjacency preserving maps, Integral EquationsOperator Theory 72 (2012), 7-66.I (809) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (810) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.

182

I (811) L. Molnar, Non-linear Jordan triple automorphisms ofsets of self-adjoint matrices and operators, Studia Math. 173(2006), 39–48.I (812) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (813) L. Molnar, Maps preserving the geometric mean of posi-tive operators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.

[460] P. Semrl, Comparability preserving maps on Hilbert space effectalgebras, Comm. Math. Phys. 313 (2012), 375–384.I (814) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (815) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (816) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (817) L. Molnar and E. Kovacs, An extension of a character-ization of the automorphisms of Hilbert space effect algebras,Rep. Math. Phys. 52 (2003), 141–149.I (818) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[461] P. Semrl Symmetries of Hilbert space effect algebras, J. Lond.Math. Soc. 88 (2013), 417–436.I (819) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (820) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (821) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (822) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (823) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (824) L. Molnar and E. Kovacs, An extension of a character-ization of the automorphisms of Hilbert space effect algebras,Rep. Math. Phys. 52 (2003), 141–149.

183

I (825) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.I (826) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.I (827) L. Molnar and W. Timmermann, Mixture preservingmaps on von Neumann algebra effects, Lett. Math. Phys. 79(2007), 295–302.I (828) L. Molnar, Maps preserving the geometric mean of posi-tive operators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.I (829) CML09f L. Molnar, Maps preserving the harmonic meanor the parallel sum of positive operators, Linear Algebra Appl.430 (2009), 3058–3065.

[462] P. Semrl Automorphisms of Hilbert space effect algebras, J.Phys. A: Math. Theor. 48 (2015) 195301.I (830) L. Molnar and Zs. Pales, ⊥-order automorphisms ofHilbert space effect algebras: The two-dimensional case, J.Math. Phys. 42 (2001), 1907–1912.I (831) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.I (832) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[463] P. Semrl and A.R. Sourour, Order preserving maps on hermit-ian matrices, J. Austral. Math. Soc. 95 (2013), 129–132.I (833) L. Molnar, Order-automorphisms of the set of boundedobservables, J. Math. Phys. 42 (2001), 5904–5909.I (834) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[464] H. Shi, G. Ji, Maps preserving norms of Jordan products onthe space of self-adjoint operators, J. Shandong Univ. Nat. Sci.Ed.45 (2010), 80–84.I (835) L. Molnar, Maps on states preserving the relative en-tropy, J. Math. Phys. 49 (2008), 032114.

[465] R. Shindo, Norm conditions for real-algebra isomorphisms be-tween uniform algebras, Centr. Eur. Math. J. 8 (2010), 135–147.I (836) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

184

[466] R. Shindo, Maps between uniform algebras preserving normsof rational functions, Mediterr. J. Math. 8 (2011), 81–95.I (837) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[467] R. Shindo, Weakly-peripherally multiplicative conditions andisomorphisms between uniform algebras, Publ. Math. (Debre-cen) 78 (2011), 675–685.I (838) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[468] R. Simon, N. Mukunda, S. Chaturvedi and V. Srinivasan Twoelementary proofs of the Wigner theorem on symmetry in quan-tum mechanics, Phys. Lett. A 372 (2008), 6847–6852.I (839) L. Molnar, Wigner’s unitary-antiunitary theorem viaHerstein’s theorem on Jordan homomorphisms, J. Nat. Geom.10 (1996), 137–148.I (840) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.I (841) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.I (842) L. Molnar, Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces, Com-mun. Math. Phys. 210 (2000), 785–791.I (843) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[469] N. Sirovnik and J. Vukman, A result concerning two-sided cen-tralizers on algebras with involution, Oper. Matrices 7 (2013),687–693.I (844) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[470] N. Sirovnik and J. Vukman, On derivations of operator algebraswith involution, Demonstr. Math. 47 (2014), 784–790.I (845) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[471] P.B. Slater, Quantum and Fisher information from the Husimiand related distributions, J. Math. Phys. 47 (2006), Art. No.022104.

185

I (846) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.

[472] R. Slowik, Maps on infinite triangular matrices preservingidempotents, Linear Multilinear Alg. 62 (2014), 938–964.I (847) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[473] R. Slowik, Linear minimal rank preservers on infinite triangu-lar matrices, Kyushu J. Math. 69 (2015), 63–68.I (848) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[474] P. Stano, D. Reitzner and T. Heinosaari, Coexistence of qubiteffects, Phys. Rev. A 78 (2008), 012315.I (849) L. Molnar, Characterizations of the automorphisms ofHilbert space effect algebras, Commun. Math. Phys. 223 (2001),437–450.

[475] E. Størmer, Positive Linear Maps of Operator Algebras,Springer-Verlag, Berlin Heidelberg, 2013.I (850) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[476] P. Szokol, M.-C. Tsai and J. Zhang, Preserving problems ofgeodesic-affine maps and related topics on positive definite ma-trices, Linear Algebra Appl. 483 (2015), 293–308.I (851) O. Hatori and L. Molnar, Isometries of the unitarygroups and Thompson isometries of the spaces of invertible pos-itive elements in C∗-algebras, J. Math. Anal. Appl. 409 (2014),158–167.I (852) L. Molnar, Maps preserving the geometric mean of posi-tive operators, Proc. Amer. Math. Soc. 137 (2009), 1763–1770.

[477] A. Taghavi, Additive mappings on operator algebras preservingsquare absolute values, Honam Math. J. 23 (2001), 51–57.I (853) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[478] A. Taghavi, When is a subspace of B(X ) ideal?, SoutheastAsian Bull. Math. 26 (2002), 153–158.

186

I (854) L. Molnar, On the range of a normal Jordan *-derivation, Comment. Math. Univ. Carolinae 35 (1994), 691–695.I (855) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (856) L. Molnar, The range of a Jordan *-derivation, Math.Japon. 44 (1996), 353–356.

[479] A. Taghavi, Additive mappings on C∗-algebras preserving ab-solute values, Linear Multilinear Algebra 60 (2012), 33-38.I (857) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (858) L. Molnar, Multiplicative Jordan triple isomorphisms onthe self-adjoint elements of von Neumann algebras, Linear Al-gebra Appl. 419 (2006), 586–600.

[480] A. Taghavi, Additive mappings on C∗-algebras sub-preservingabsolute values of products, Journal of Inequalities and Appli-cations 2012, Article ID 161, 6 p., electronic only (2012).I (859) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (860) L. Molnar, Multiplicative Jordan triple isomorphisms onthe self-adjoint elements of von Neumann algebras, Linear Al-gebra Appl. 419 (2006), 586–600.

[481] A. Taghavi and E. Dadar, Range-preserving maps on operatoralgebras, Int. J. Contemp. Math. Sci. 3 (2008), 311–317.I (861) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[482] A. Taghavi, V. Darvish, H. Rohi, Additivity of maps preservingproducts AP ± PA∗ on C∗-algebras, Math. Slovaca, to appear.I (862) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.I (863) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[483] I (2) A. Taghavi, H. Rohi and V. Darvish, Non-linear *-Jordanderivations on von Neumann algebras, Linear Multilinear Alg.,to appear.I (864) L. Molnar, A condition for a subspace of B(H) to be anideal, Linear Algebra Appl. 235 (1996), 229–234.

187

I (865) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.

[484] A. Tajmouati and A. El Bakkali, Linear maps preserving theKato spectrum, Int. Journal of Math. Analysis 6 (2012), 253–263.I (866) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[485] S.E. Takahasi and O. Hatori, A structure of ring homomor-phisms on commutative Banach algebras, Proc. Amer. Math.Soc. 127 (1999), 2283–2288.I (867) L. Molnar, The range of a ring homomorphism from acommutative C∗-algebra, Proc. Amer. Math. Soc. 124 (1996),1789–1794.

[486] T. Tanengtang, K. Paithoonwattanakij, P.P. Yupapin and S.Suchat, Quantum bits generation using correlated photons: Fi-delity and error corrections, Optik 121 (2010), 1976-1980.I (868) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.

[487] X.M. Tang, C.G. Cao and X. Zhang, Modular automorphismspreserving idempotence and Jordan isomorphisms of triangularmatrices over commutative rings, Linear Algebra Appl. 338(2001), 145–152.I (869) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[488] F. Ticozzi and L. Viola, Quantum information encoding, pro-tection, and correctionfrom trace-norm isometries, Phys. Rev.A 81 (2010), 032313.I (870) L. Molnar and W. Timmermann, Isometries of quantumstates, J. Phys. A: Math. Gen. 36 (2003), 267–273.

[489] W. Timmermann, Remarks on automorphism and derivationpairs in ternary rings of unbounded operators, Arch. Math. 74(2000), 379–384.I (871) L. Molnar and B. Zalar, Three-variable *-identities andhomomorphisms of Schatten classes, Publ. Math. (Debrecen)50 (1997), 121–133.I (872) L. Molnar and P. Semrl, Order isomorphisms and tripleisomorphisms of operator ideals and their reflexivity, Arch.Math. 69 (1997), 497–506.

188

[490] W. Timmermann, Elementary operators on algebras of un-bounded operators, Acta Math. Hung. 107 (2005) 149–160.I (873) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (874) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[491] W. Timmermann, Zero product preservers and orthogonalitypreservers in algebras of unbounded operators, Math. Pannon.16 (2005), 165-172.I (875) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.I (876) L. Molnar, Characterization of additive *-homomorphisms and Jordan *-homomorphisms on operatorideals, Aequationes Math. 55 (1998), 259–272.

[492] T. Tonev, Weak multiplicative operators on function algebraswithout units, Banach Cent. Publ. 91 (2010), 411–421.I (877) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (878) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[493] T. Tonev, Spectral conditions for almost composition opera-tors between algebras of functions, Proc. Amer. Math. Soc. 142(2014), 2721–2732.I (879) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[494] T. Tonev and A. Luttman, Algebra isomorphisms between stan-dard operator algebras, 191 (2009), 163–170.I (880) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (881) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

189

[495] T. Tonev and R. Yates, Norm-linear and norm-additive opera-tors between uniform algebras, J. Math. Anal. Appl. 357 (2009),45–53.I (882) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (883) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[496] E. Turilova, Automorphisms of spectral lattices of unboundedpositive operators, Lobachevskii J. Math. 35 (2014), 259-263.I (884) L. Molnar and P. Semrl, Spectral order automorphisms ofthe spaces of Hilbert space effects and observables, Lett. Math.Phys. 80 (2007), 239–255.

[497] E. Turilova, Automorphisms of spectral lattices of positive con-tractions on von Neumann algebras, Lobachevskii J. Math. 35(2014), 355–359.I (885) L. Molnar and P. Semrl, Spectral order automorphisms ofthe spaces of Hilbert space effects and observables, Lett. Math.Phys. 80 (2007), 239–255.

[498] A. Turnsek, On operators preserving James’ orthogonality,Linear Algebra Appl. 407 (2005), 189–195.I (886) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.I (887) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.I (888) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[499] A. Turnsek, A variant of Wigners functional equation, Aequat.Math., to appear.I (889) L. Molnar, An algebraic approach to Wigner’s unitary-antiunitary theorem, J. Austral. Math. Soc. 65 (1998), 354–369.

[500] Z. Ullah and M.A. Chaudhry, θ-centralizers of rings with in-volution, Int. J. Algebra 4 (2010), 843–850.I (890) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

190

[501] J. Vukman, An equation on operator algebras and semisimpleH∗-algebras, Glasnik Math. 40 (2005), 201–206.I (891) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[502] J. Vukman, On derivations of algebras with involution, ActaMath. Hung. 112 (2006), 181–186.I (892) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[503] J. Vukman, A note on Jordan *-derivations in semiprime ringswith involution, Int. Math. Forum 1 (2006), 617–622.I (893) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[504] J. Vukman, On derivations of standard operator algebras andsemisimple H∗-algebras, Studia Sci. Math. Hungar. 44 (2007),57–63.I (894) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[505] J. Vukman, Identities related to derivations and centralizerson standard operator algebras, Taiwanese J. Math. 11 (2007),255–265.I (895) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[506] J. Vukman, A note on generalized derivations of semiprimerings, Taiwanese J. Math. 11 (2007), 367–370.I (896) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[507] J. Vukman, On (m,n)-Jordan centralizers in rings and alge-bras, Glasnik Math. 45 (2010), 43–53.I (897) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[508] J. Vukman, Some remarks on derivations in semiprime ringsand standard operator algebras, Glasnik Math. 46 (2011), 43–48.I (898) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[509] J. Vukman and M. Fosner, A characterization of two-sided cen-tralizers on prime rings, Taiwanese J. Math. 11 (2007), 1431–1441.

191

I (899) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[510] J. Vukman and I. Kosi-Ulbl, Centralisers on rings and algebras,Bull. Austral. Math. Soc. 71 (2005), 225–234.I (900) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[511] J. Vukman and I. Kosi-Ulbl, A remark on a paper of L. Molnar,Publ. Math. (Debrecen) 67 (2005), 419–421.I (901) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[512] J. Vukman and I. Kosi-Ulbl, On centralizers of standard op-erator algebras and semisimple H∗-algebras, Acta Math. Hung.110 (2006), 217–223.I (902) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[513] J. Vukman and I. Kosi-Ulbl, On centralizers of semiprime ringswith involution, Studia Sci. Math. Hung. 43 (2006), 61–67.I (903) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[514] J. Vukman and I. Kosi-Ulbl, On centralizers of semisimple H∗-algebras, Taiwanese J. Math. 11 (2007), 1063–1074.I (904) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[515] J. Vukman and I. Kosi-Ulbl, On two-sided centralizers of ringsand algebras, CUBO A Math. J. 10 (2008), 211-222.I (905) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[516] J. Vukman, I. Kosi-Ulbl and D. Eremita, On certain equationsin rings, Bull. Austral. Math. Soc. 71 (2005), 53–60.I (906) L. Molnar, On centralizers of an H*-algebra, Publ. Math.(Debrecen) 46 (1995), 89–95.

[517] D. Wang, Q. Guan and D. Zhang, Local automorphisms ofsemisimple algebras and group algebras, Acta Math. Sci. 38(2011), 1600-1612.I (907) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[518] L. Wang, Additivity of Jordan triple elementary maps on tri-angular algebras, J. Qingdao Univ. Nat. Sci. Ed. 33 (2012).

192

I (908) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (909) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[519] L. Wang, J. Hou and K. He, Fidelity, sub-fidelity, super-fidelityand their preservers, Int. J. Quantum Inf. 13 (2015), 1550027,11 pp.I (910) L. Molnar, Fidelity preserving maps on density operators,Rep. Math. Phys. 48 (2001), 299–303.I (911) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

[520] X. Wang, Local derivations of a matrix algebra over a commu-tative ring, J. Math. Res. Expo. 31 (2011), 781–790.I (912) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[521] Y. Wang, The additivity of multiplicative maps on rings, Com-mun. Algebra 37 (2009), 2351–2356.I (913) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[522] Y. Wang, Additivity of multiplicative maps on triangular rings,Linear Algebra Appl. 434 (2011), 625-635.I (914) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[523] Y. Wang and Y. Wang, Jordan homomorphisms of upper tri-angular matrix rings, Linear Algebra Appl. 439 (2013), 4063–4069.I (915) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[524] M. Wei, J. Zhang Elementary maps on triangular algebra, J.Northwest Univ. 45 (2009), 13–15.I (916) M. Bresar, L. Molnar and P. Semrl, Elementary operatorsII, Acta Sci. Math. (Szeged) 66 (2000), 769–791.I (917) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

193

[525] M. Wei M, J.H. Zhang, Jordan-triple elementary maps andJordan isomorphisms on triangular algebras, Fangzhi GaoxiaoJichukexue Xuebao 22 (2009), 193–197.I (918) L. Molnar and P. Semrl, Elementary operators on stan-dard operator algebras, Linear and Multilinear Algebra 50(2002), 315–319.

[526] T.L. Wong, Jordan isomorphisms of triangular rings, Proc.Amer. Math. Soc. 133 (2005), 3381–3388.I (919) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[527] J. Wu, Additive mappings preserving zero products, Acta Math.Sinica 42 (1999), 1125–1128.I (920) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

[528] X. Xia, Y. Jin, Y. Shang and L. Chen, Improved relative-entropy method for eccentricity filtering in roundness measure-ment based on information optimization, Research Journal ofApplied Sciences, Engineering and Technology (RJASET) 5(2013), 4649–4655.I (921) L. Molnar and P. Szokol, Maps on states preserving therelative entropy II, Linear Algebra Appl., 432 (2010), 3343–3350.

[529] J. Xie and F. Lu, A note on 2-local automorphisms of digraphalgebras, Linear Algebra Appl. 378 (2004), 93–98.I (922) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

[530] J. Xu, B. Zheng and A. Fosner, Linear maps preserving tensorproduct of rank-one Hermitian matrices, J. Aust. Math. Soc.98 (2015), 407–428.I (923) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[531] J. Xu, B. Zheng and H. Yao, Linear transformations betweenmultipartite quantum systems that map the set of tensor productof idempotent matrices into idempotent matrix set, J. Funct.Space Appl. Volume 2013, Article ID 182569, 7 pages.I (924) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.

194


[532] J.L. Xu, C.G. Cao and X.M. Tang, Linear preservers of idem-potence on triangular matrix spaces over any field, Internat.Math. Forum 2 (2007), 2305–2319.I (926) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[533] C. Yan, G. Zhang and C. Gao, The form of finite rank idem-potent operators of B(H) and its application, Natur. Sci. J.Harbin Normal Univ. 22 (2006), 34–36.I (927) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[534] A. Yang, Jordan isomorphisms on nest subalgebras, Advancesin Mathematical Physics, Volume 2015, Article ID 864792, 6pages.I (928) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[535] A.L. Yang and J.H. Zhang, Jordan isomorphisms on nest sub-algebras of factor von Neumann algebras, Acta Math. Sinica 51(2008), 219–224.I (929) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[536] D. Yang, Jordan *-derivation pairs on standard operator alge-bras and related results, Colloq. Math. 102 (2005), 137–145.I (930) L. Molnar, Jordan *-derivation pairs on a complex *-algebra, Aequationes Math. 54 (1997), 44–55.

[537] L. Yang, W. Zhang and J. Xu, Linear maps on upper triangularmatrices spaces preserving idempotent tensor products, Abstr.Appl. Anal. (2014), Article ID 148321, 8 pagesI (931) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[538] H. You, S. Liu and G. Zhang, Rank one preserving R-linearmaps on spaces of self-adjoint operators on complex Hilbertspaces, Linear Algebra Appl. 416 (2006) 568-579.

195

I (932) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[539] X.P. Yu and F.Y. Lu, Maps preserving Lie product on B(X),Taiwanese J. Math. 12 (2008), 793–806.I (933) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (934) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.

[540] L. Yuan and H.K. Du, A note on the infimum problem ofHilbert space effects, J. Math. Phys. 47 (2006), Art. No. 102103.I (935) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.

[541] Q. Yuan and K. He, Generalized Jordan semitriple maps onHilbert space effect algebras, Adv. Math. Phys., Volume 2014,Article ID 216713, 5 pages.I (936) L. Molnar, On some automorphisms of the set of effectson Hilbert space, Lett. Math. Phys. 51 (2000), 37–45.I (937) L. Molnar, Preservers on Hilbert space effects, LinearAlgebra Appl. 370 (2003), 287–300.I (938) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[542] B. Zalar, Theory of Hilbert triple systems, Yokohama Math. J.41 (1994), 94–126.I (939) L. Molnar, Reproducing kernel Hilbert A-modules, Glas-nik Mat. 25 (1990), 335–345.I (940) L. Molnar, A note on Saworotnow’s representation theo-rem on positive definite functions, Houston J. Math. 17 (1991),89–99.I (941) L. Molnar, ∗-representations of the trace-class of an H∗-algebra, Proc. Amer. Math. Soc. 115 (1992), 167–170.I (942) L. Molnar, p-classes of an H*-algebra and their repre-sentations, Acta Sci. Math. (Szeged) 58 (1993), 411–423.I (943) L. Molnar, Conditions for a function to be a centralizeron an H*-algebra, Acta Math. Hung. 67 (1995), 171–174.

[543] B. Zalar, Jordan - von Neumann theorem for Saworotnow’sgeneralized Hilbert space, Acta Math. Hung. 69 (1995), 301–325.

196

I (944) L. Molnar, Reproducing kernel Hilbert A-modules, Glas-nik Mat. 25 (1990), 335–345.I (945) L. Molnar, A note on Saworotnow’s representation theo-rem on positive definite functions, Houston J. Math. 17 (1991),89–99.I (946) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.I (947) L. Molnar, ∗-representations of the trace-class of an H∗-algebra, Proc. Amer. Math. Soc. 115 (1992), 167–170.I (948) L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656.I (949) L. Molnar, On Saworotnow’s Hilbert A-modules, GlasnikMat. 28 (1993), 259–267.I (950) L. Molnar, On A-linear operators on a Hilbert A-module,Period. Math. Hung. 26 (1993), 219–222.

[544] B. Zalar, Connections between Hilbert triple systems and invo-lutive H∗-triples, Acta Sci. Math. (Szeged) 62 (1996), 127–143.I (951) L. Molnar, Reproducing kernel Hilbert A-modules, Glas-nik Mat. 25 (1990), 335–345.I (952) L. Molnar, A note on Saworotnow’s representation theo-rem on positive definite functions, Houston J. Math. 17 (1991),89–99.I (953) L. Molnar, A note on the strong Schwarz inequality inHilbert A-modules, Publ. Math. (Debrecen) 40 (1992), 323–325.I (954) L. Molnar, Modular bases in a Hilbert A-module, Czech.Math. J. 42 (1992), 649–656.I (955) L. Molnar, On Saworotnow’s Hilbert A-modules, GlasnikMat. 28 (1993), 259–267.I (956) L. Molnar, On A-linear operators on a Hilbert A-module,Period. Math. Hung. 26 (1993), 219–222.

[545] F.J. Zhang, Nonlinear strong *-commutativity preserving mapson factor von Neumann algebras, Fangzhi Gaoxiao JichukexueXuebao 25 (2012), 21–24.I (957) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[546] F.J. Zhang and G.X. Ji, Additive maps preserving orthogonalityon B(H), J. Shaanxi Normal Univ. Nat. Sci. Ed. 33 (2005), 21–25.I (958) L. Molnar, Two characterizations of additive *-automorphisms of B(H), Bull. Austral. Math. Soc. 53 (1996),391–400.

197

[547] G. Zhang and S. Liu, Rank one preserving linear maps onspaces of symmetric operators, J. Heilongjiang Univ. Natur. Sci.23 (2006), 235–238.I (959) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[548] H. Zhang and Y. Li, Jordan triple multiplicative maps on thesymmetric matrices, Lecture Notes in Computer Science, 2011,Volume 6987/2011, 27–34.I (960) L. Molnar, On isomorphisms of standard operator alge-bras, Studia Math. 142 (2000), 295–302.I (961) L. Molnar, Jordan maps on standard operator algebras,Functional Equations – Results and Advances, in Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001, pp. 305–320.I (962) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[549] H. Zhang and X. Wang, Local E-automorphisms on effect al-gebras, Pure Math. 2 (2012), 152–155.I (963) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (964) L. Molnar, Sequential isomorphisms between the setsof von Neumann algebra effects, Acta Sci. Math. (Szeged) 69(2003), 755–772.

[550] J.H. Zhang, S. Feng and R.H. Wu, Local 2-cocycles of nestsubalgebras of factor von Neumann algebras, Linear AlgebraAppl. 416 (2006), 908-916.I (965) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.

[551] J.H. Zhang, G.X. Ji and H.X. Cao, Local derivations of nestsubalgebras of von Neumann algebras, Linear Algebra Appl. 392(2004), 61–69.I (966) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.

[552] J.H. Zhang and H.X. Li, 2-local derivations on digraph alge-bras, Acta Math. Sin. 49 (2006), 1411–1416.I (967) L. Molnar, Local automorphisms of operator algebras onBanach spaces, Proc. Amer. Math. Soc. 131 (2003), 1867–1874.

198

[553] J.H. Zhang, A.L. Yang and F.F. Pan, Local automorphisms onnest subalgebras of factor von Neumann algebras, Linear Alge-bra Appl. 402 (2005), 335–344.I (968) L. Molnar, The set of automorphisms of B(H) is topolog-ically reflexive in B(B(H)), Studia Math. 122 (1997), 183–193.I (969) L. Molnar and M. Gyory, Reflexivity of the automor-phism and isometry groups of the suspension of B(H), J. Funct.Anal. 159 (1998), 568–586.

[554] J.H. Zhang, A.L. Yang and F.F. Pan, Linear maps preserv-ing zero products on nest subalgebras of von Neumann algebras,Linear Algebra Appl. 412 (2006), 348–361.I (970) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[555] J.H. Zhang and F.J. Zhang, Nonlinear maps preserving Lieproducts on factor von Neumann algebras, Linear Algebra Appl.429 (2008), 18–30.I (971) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[556] W. Zhang, J. Hou, Maps preserving peripheral spectrum of gen-eralized Jordan products of self-adjoint operators, Abstr. Appl.Anal. Volume 2014, Article ID 192040, 8 pages.I (972) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[557] W. Zhang, J. Hou and X. Qi, Maps preserving peripheral spec-trum of generalized Jordan products of operators, Acta Math.Sin. 31 (2015), 953–972.I (973) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.I (974) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.

[558] X. Zhang, H. Cui and J. Hou, Jordan semi-triple mappingspreserving rank and minimal rank, Proceedings of the ThirdInternational Workshop on Matrix Analysis and Applications,vol 3., World Academic Union, 273–276, 2009.

199

I (975) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.

[559] X. Zhang, X.M. Tang and C.G. Cao, Preserver Problems onSpaces of Matrices, Science Press, Beijing, 2007.I (976) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.I (977) L. Molnar, Some linear preserver problems on B(H) con-cerning rank and corank, Linear Algebra Appl. 286 (1999), 311-321.I (978) L. Molnar, Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principalangles, Commun. Math. Phys. 217 (2001), 409–421.I (979) L. Molnar, Local automorphisms of some quantum me-chanical structures, Lett. Math. Phys. 58 (2001), 91–100.I (980) L. Molnar, Orthogonality preserving transformations onindefinite inner product spaces: generalization of Uhlhorn’s ver-sion of Wigner’s theorem, J. Funct. Anal., 194 (2002), 248–262.I (981) L. Molnar and P. Semrl, Non-linear commutativity pre-serving maps on self-adjoint operators, Quart. J. Math., 56(2005), 589–595.

[560] W. Zhang and J. Hou, Maps preserving numerical radius orcross norms of products on 2 × 2 matrix algebras, Journal ofNorth University of China (Natural Science Edition) 30 (2009),506–511.I (982) L. Molnar, A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules, J. Math. Phys. 40(1999), 5544–5554.

[561] W. Zhang and J. Hou, Maps preserving peripheral spectrum ofJordan semi-triple products of operators, Linear Algebra Appl.435 (2011), 1326-1335.I (983) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

[562] W. Zhang and J. Hou, Maps preserving peripheral spectrumof generalized products of operators, Linear Algebra Appl. 468(2015), 87–106.I (984) L. Molnar, Some characterizations of the automorphismsof B(H) and C(X), Proc. Amer. Math. Soc. 130 (2002), 111-120.

200

[563] X.H. Zhang and J.H. Zhang, Characterizations of Jordan iso-morphisms of nest algebras, Acta Math. Sin. 56 (2013), 553–560.I (985) L. Molnar and P. Semrl, Some linear preserver problemson upper triangular matrices, Linear and Multilinear Algebra45 (1998), 189–206.

[564] L. Zhao and J. Hou, Additive Maps Preserving Indefinite Semi-Orthogonality, J. Systems Sci. Math. Sci. 27 (2007), 697-702.I (986) M. Gyory, L. Molnar and P. Semrl, Linear rank andcorank preserving maps on B(H) and an application to *-semigroup isomorphisms of operator ideals, Linear AlgebraAppl. 280 (1998), 253–266.

[565] B. Zheng, J. Xu nd A. Fosner, Linear maps preserving idem-potents of tensor products of matrices, Linear Alg. Appl. 470(2015), 25–39.I (987) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[566] B. Zheng, J. Xu nd A. Fosner, Linear maps preserving rank oftensor products of matrices, Linear Multilinear Alg. 63 (2015),366–376.I (988) L. Molnar, Selected Preserver Problems on AlgebraicStructures of Linear Operators and on Function Spaces, Lec-ture Notes in Mathematics, Vol. 1895, p. 236, Springer, 2007.

[567] J. Zhu and C. Xiong, Generalized derivable maps at zero pointon some reflexive operator algebras, Linear Algebra Appl. 397(2005), 367–379.I (989) L. Molnar and P. Semrl, Local Jordan *-derivations ofstandard operator algebras, Proc. Amer. Math. Soc. 125 (1997),447–454.I (990) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

[568] J. Zhu and C. Xiong, Characterization of generalized Jordan*-left derivations on real nest algebras, Linear Algebra Appl.404 (2005), 325–344.I (991) L. Molnar and P. Semrl, Local Jordan *-derivations ofstandard operator algebras, Proc. Amer. Math. Soc. 125 (1997),447–454.

201

I (992) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

[569] J. Zhu and C. Xiong, Generalized Jordan *-left derivations onreal nest algebras, Acta Math. Sinica 48 (2005), 299–310.I (993) L. Molnar and P. Semrl, Local Jordan *-derivations ofstandard operator algebras, Proc. Amer. Math. Soc. 125 (1997),447–454.I (994) L. Molnar and B. Zalar, On local automorphism of groupalgebras of compact groups, Proc. Amer. Math. Soc. 128 (2000),93–99.

202

LECTURES AND TALKS

by Lajos Molnar

1. Isometries and isomorphisms on positive definite matrices,10th Workshop on Functional Analysis and its Applications inMathematical Physics and Optimal Control, September 7-12,2015, Kocovce, Slovak Republic

2. Linear bijections on von Neumann factors commuting with λ-Aluthge transform, Seminar talk, Nihon University, June 6,2015, Tokyo, Japan.

3. On isometries of some matrix spaces, Colloquium talk, Depart-ment of Mathematics, Waseda University, June 5, 2015, Tokyo,Japan.

4. Generalized Mazur-Ulam theorems and isometries of positivedefinite cones in operator algebras, International Conferenceon Preserver Problems and Related Topics, Niigata University,May 24, 2015, Niigata, Japan.

5. Izometriak es izomorfizmusok, Colloquium talk, Bolyai Insti-tute, University of Szeged, April 14, 2015, Szeged, Hungary.

6. Generalized Mazur-Ulam theorems and isometries of matrixspaces, Seminar talk, Department of Mathematics, The Uni-versity of Mississippi, March 20, 2015, Oxford MS, USA.

7. Generalized Mazur-Ulam theorems and isometries of matrixspaces, Colloquium talk, Department of Mathematical Sci-ences, The University of Memphis, March 26, 2015, MemphisTN, USA.

8. Altalanosıtott Mazur-Ulam tetelek es matrixterek izometriai,Seminar of the Department of Analysis, Budapest Universityof Technology and Economics, January 11, 2015, Budapest,Hungary.

9. Preservers: transformations on quantum structures and isome-tries of matrix spaces, Series of lectures at Winter School inAbstract Analysis, Charles University, January 10-17, 2015,Svratka, Czecz Republic

10. Isometries of matrix spaces, Varecza Arpad Emleknap, Collegeof Nyıregyhaza, October 30, 2014, Nyıregyhaza, Hungary.

203

11. On the standard K-loop structure of positive invertible elementsin a C∗-algebra, Analysis Seminar, University of Innsbruck,October 24 - 26, 2014, Innsbruck, Austria.

12. Quantum structures and their transformations, A course at theCIMPA Research School on ”Operator theory and the princi-ples of quantum mechanics” University Moulay Ismail, 2014September 8-17, Meknes, Morocco.

13. Isometries and isomorphisms of spaces of positive definite andunitary matrices, International Linear Algebra Society (ILAS)2014 Meeting, August 6 - 9, 2014, Seoul, South Korea

14. On the standard K-loop structure of positive invertible elementsin a C∗-algebra, IWOTA 2014, VU University Amsterdam,July 14 - 18, 2014, Amsterdam, The Netherlands.

15. Isomorphisms and generalized isometries of positive definitecones and unitary groups in operator algebras, Zagreb Work-shop on Operator Theory, University of Zagreb, July 3 - 4,2014, Zagreb, Croatia

16. Transformations on density operators preserving quantum rel-ative entropy or related quantities, Canadian Mathematical So-ciety, 2014 Summer Meeting, June 6 - 9, Winnipeg, Canada.

17. An operation on the positive definite cone of a C∗-algebraand its algebraic properties, Colloquium Talk, Department ofMathematics, University of Manitoba, June 6, 2014, Winnipeg,Canada.

18. Isomorphisms and generalized isometries of positive definitecones and unitary groups in operator algebras, The 7th Confer-ence on Function Spaces, Southern Illinois University, May 20- 24, 2014, Edwardsville, USA.

19. On an operation on the positive definite cone of a C∗-algebra,Seminar Talk, Department of Mathematics, University of Den-ver, May 16, 2014, Denver, USA.

20. Algebraic properties of some operations on C∗-algebras, Semi-nar Talk, Department of Mathematics, University of Wyoming,May 13, 2014, Laramie, USA.

21. On certain operations on the set of positive invertible elementsin a C∗-algebra, Seminar Talk, Department of Mathematicsand Computer Science, West University of Timisoara, April 3,2014, Timisoara, Romania

204

22. On the standard K-loop structure of positive invertible elementsin a C∗-algebra, 14th Debrecen-Katowice Winter Seminar onFunctional Equations and Inequalities, January 29 - February1, 2014, Hajduszoboszlo, Hungary.

23. Transformations on positive definite matrices preserving dis-tances, Functional Analysis Workshop in honour of Z.Sebestyen’s 70th birthday, Eotvos Lornd University, January10, 2014, Budapest, Hungary.

24. Isometries of certain nonlinear spaces of matrices and opera-tors, IWOTA 2013, Indian Institute of Science, December 16-20, 2013, Bangalore, India.

25. Transformations on positive definite matrices preserving dis-tance measures, Analysis Seminar, University of Innsbruck, No-vember 29 - December 1, 2013, Innsbruck, Austria.

26. Preserver Problems on Quantum Structures, Colloquium Talk,Department of Applied Mathematics, National Sun Yat-senUniversity, November 7, 2013, Kaohsiung, Taiwan.

27. Reflexivity of automorphism groups and isometry groups ofsome operator structures, Seminar Talk, Department of Ap-plied Mathematics, National Sun Yat-sen University, Novem-ber 6, 2013, Kaohsiung, Taiwan.

28. Transformations on spaces of unitary or positive definite matri-ces: Isometries and isomorphism, Seminar Talk, Departmentof Applied Mathematics, National Sun Yat-sen University, Oc-tober 30, 2013, Kaohsiung, Taiwan.

29. Isometries and isomorphisms of some spaces of matrices, Oper-ator Algebra Seminar, Department of Mathematics, Universityof Rome ”Tor Vergata”, September 25, 2013, Rome, Italy.

30. Nonlinear preserver transformations on some quantum struc-tures, Seminar of Department of Mathematics and Departmentof Physics, University of Calabria, September 19, 2013, Rende,Italy.

31. Isometries and isomorphisms of some spaces of matrices, Ad-vanced School and Workshop on Matrix Geometries and Ap-plications, ICTP, July 1-12, 2013, Trieste, Italy.

32. Sequential isomorphisms and endomorphisms of Hilbert spaceeffect algebras, Numbers, Functions, Equations 2013, June 28-30, 2013, Visegrad, Hungary.

205

33. Reflexivity of automorphism groups and isometry groups ofsome operator structures, Sz.-Nagy Centennial Conference,University of Szeged, June 24-28, 2013, Szeged, Hungary.

34. Some non-linear preservers on quantum structures, Interna-tional Linear Algebra Society (ILAS) 2013 Meeting, June 3-7,2013, Providence, RI, USA.

35. Izometriak es izomorfizmusok, ”Lendulet” FIFA’13 Workshop,University of Debrecen, April 26-27, 2013, Debrecen, Hungary.

36. Isometries of some nonlinear spaces of operators, AMS 2013Spring Southeastern Section Meeting, March 1-3, 2013, Uni-versity of Mississippi, Oxford, MS, USA.

37. Transformations of the unitary group on a Hilbert space, TheThirteenth Katowice-Debrecen Winter Seminar on FunctionalEquations and Inequalities, January 30-February 2, 2013, Za-kopane, Poland.

38. Preserver problems on quantum structures, Seminar of the De-partment of Physics, University of Calabria, December 17,2012, Cosenza, Italy.

39. Operatorstrukturak izometriai, ”Celebration of Hungarian Sci-ence” Meeting of Debrecen Branch of the Hungarian Academyof Sciences, November 15, 2012, Debrecen, Hungary.

40. Isometries of nonlinear operator structures, Seminar of the In-stitute of Analysis, TU Dresden, November 1, 2012, Dresden,Germany.

41. Isometries of nonlinear structures of linear operators, Interna-tional Workshop on Functional Analysis, October 12-14, 2012,Timisoara, Romania.

42. C∗-algebras with isometric unitary groups are Jordan *-isomorphic, Seminar talk at the Department of Mathematics,University of Ljubljana, October 4, 2012, Ljubljana, Slovenia.

43. Sequential isomorphisms and endomorphisms of Hilbert spaceeffect algebras, 11th Biennial Meeting of the InternationalQuantum Structure Association, University of Cagliari, July23–27, 2012, Cagliari, Italy.

206

44. Reflexivity of isometry groups and automorphism groups ofstructures of Hilbert space operators, 50th International Sym-posium on Functional Equations, University of Debrecen, June17–24, 2012, Hajduszoboszlo, Hungary.

45. Algebraic properties of isometries on structures of linear oper-ators, 5th Croatian Mathematical Congress, University of Ri-jeka, June 18–21, 2012, Rijeka, Croatia.

46. Reflexivity of the isometry groups of some spaces of Hilbertspace operators, International Conference on Mathematics andStatistics (ICOMAS-2012), University of Memphis, May 15-18,2012, Memphis, TN, USA.

47. Isometries of spaces of operators and functions, ”7th FloorSeminar”, Waseda University, November 8, 2011, Tokyo,Japan.

48. Isometries of spaces of operators and functions, Workshop onCommutative Algebra, Nara University of Education, Novem-ber 4-6, 2011, Nara, Japan.

49. Order-preserving maps on spaces of operators and applications,Research on preserver problems related to Banach algebras andits applications, RIMS, Kyoto University, October 31 - Novem-ber 2, 2011, Kyoto, Japan.

50. Transformations of the unitary group, Research on preserverproblems related to Banach algebras and its applications,RIMS, Kyoto University, October 31 - November 2, 2011, Ky-oto, Japan.

51. Transformations of the unitary group and sequential endomor-phisms of effect algebras, Seminar talk at the Departmentof Mathematics, University of Ljubljana, September 8, 2011,Ljubljana, Slovenia.

52. Order automorphisms on positive definite operators and someapplications, The 17th ILAS Conference, TU Braunschweig,August 22-26, 2011, Braunschweig, Germany.

53. Transformations on self-adjoint operators preserving commuta-tivity or a measure of commutativity, IWOTA 2011, Universityof Seville, July 3-9, 2011, Seville, Spain.

54. Isometries and isomorphisms, Seminar talk at the Departmentof Mathematics, University of Ljubljana, June 28, 2011, Ljubl-jana, Slovenia.

207

55. Izometriak es izomorfizmusok, ”Functional Analysis and Pre-server Problems” Meeting of the Division of Mathematics ofthe Hungarian Academy of Sciences, May 11, 2011, Budapest,Hungary.

56. Recent results on isometries of nonlinear spaces of func-tions and operators, Mathematical Colloquium, Departmentof Mathematics, University of Osijek, April 28, 2011, Osijek,Croatia.

57. Altalanos operator-kozepet megorzo transzformaciok, Sympo-sium dedicated to L. Losonczi’s 70th birthday, DebrecenBranch of the Hungarian Academy of Sciences, March 1, 2011,Debrecen, Hungary.

58. Transformations on self-adjoint operators preserving a mea-sure of commutativity, The Eleventh Katowice-Debrecen Win-ter Seminar on Functional Equations and Inequalities, Febru-ary 2–5, 2011, Wis la-Malinka, Poland.

59. Order automorphisms of positive operators with some applica-tions, Seminar talk at the Department of Mathematics, Uni-versity of Ljubljana, November 5, 2010, Ljubljana, Slovenia.

60. Order automorphisms on positive definite operators and a fewapplications, Conference on Inequalities and Applications ’10,September 19–25, 2010, Hajduszoboszlo, Hungary.

61. Linear maps on observables in von Neumann algebras preserv-ing the maximal deviation, IWOTA 2010, TU Berlin, July 12-16, 2010, Berlin, Germany.

62. Transformations preserving relative entropies, Quantum Struc-tures Boton 2010, 10th Biennial IQSA Meeting, June 21–26,2010, Boston, USA.

63. Isometries of spaces of linear operators and probability distribu-tion functions, The 6th Conference on Function Spaces, South-ern Illinois University at Edwardsville, May 18-22, 2010, Ed-wardsville, USA.

64. Isometries of metric spaces of functions and operators, Con-ference ”Operators, Spaces, Algebras, Modules”, University ofZagreb, March 1–4, 2010, Zagreb, Croatia.

208

65. Isometries and affine automorphisms of spaces of probabilitydistribution functions, 10th Debrecen-Katowice Winter Semi-nar on Functional Equations and Inequalities, February 2-6,2010, Zamardi, Hungary.

66. A kvantummechanikaban fellepo bizonyos operatorstrukturakizometriai, von Neumann Seminar, Institute of Mathematics,Technical University of Budapest, December 15, 2009, Bu-dapest, Hungary.

67. A metrikus es algebrai szerkezet kapcsolata metrikus algebraistrukturakban, Joint Seminar of the Institute of Mathematicsand the Faculty of Informatics, University of Debrecen, No-vember 19, 2009, Debrecen, Hungary.

68. Isometries of some metric spaces of functions and operators,Seminar Talk, Technical University of Dresden, October 29,2009, Dresden, Germany.

69. Thompson isometries and transformations preserving the geo-metric mean of positive operators, 47th International Sympo-sium on Functional Equations, June 14–20, 2009, Gargnano,Italy.

70. Surjective isometries of some metric spaces of functions andoperators, Seminar talk, The University of Montana, April 29,2009, Missoula, USA.

71. Preservers on quantum structures, Colloquium talk, The Uni-versity of Montana, April 28, 2009, Missoula, USA.

72. Transformations on the space of positive operators, AMS Sec-tional Meeting, San Francisco State University, April 25–26,2009, San Francisco, USA.

73. Wigner-type results concerning transformations on density op-erators, Quantum Structure 2009, February 24–27, 2009,Kocovce, Slovakia.

74. Transformations preserving divergences or distances on spacesof positive operators, Seminar talk at the Department of Mathe-matics, University of Ljubljana, December 11, 2008, Ljubljana,Slovenia.

75. Surjective isometries of some metric spaces of functions andoperators, Seminar talk at the Department of Mathematics,University of Zagreb, December 5, 2008, Zagreb, Croatia.

209

76. Preservers on quantum structures, Colloquium talk at the De-partment of Mathematics, University of Zagreb, December 3,2008, Zagreb, Croatia.

77. Matematikai strukturak transzformacioi: megorzesi problemak,”Celebration of Science” Meeting of Debrecen Branch of theHungarian Academy of Sciences, November 28, 2008, Debrecen,Hungary.

78. Surjective isometries of some metric spaces of functions andoperators, Colloquium talk at the Department of Mathematics,Faculty of Electrical Engineering, Czech Technical University,November 4, 2008, Prague, Czech Republic.

79. Surjective isometries of some metric spaces of functions andoperators, Seminar talk at the Intitute of Mathematics, Physicsand Mechanics, University of Ljubljana, October 29, 2008,Ljubljana, Slovenia.

80. Fuggvenyek es operatorok metrikus tereinek izometriairol,Mathematical Colloquium, Bolyai Institute, University ofSzeged, October 9, 2008, Szeged, Hungary.

81. Some preserver problems on quantum structures, QuantumStructures’08, 9th Biennial IQSA Meeting, July 6–12, 2008,Sopot, Poland.

82. Transformations on von Neumann algebras preserving maximaldeviation, ”Linear Analysis and Mathematical Physics” Meet-ing of the Division of Mathematics of the Hungarian Academyof Sciences, May 21, 2008, Budapest, Hungary.

83. Maps on quantum states preserving the relative entropy, Gyula60, Workshop on Functional Equations, Inequalities, and Ap-plications, Debrecen Branch of the Hungarian Academy of Sci-ences, April 24, 2008, Debrecen, Hungary.

84. Preserver problems on quantum structures, Mathematical Col-loquium, Department of Mathematics, University of Osijek,April 3, 2008, Osijek, Croatia.

85. Maps on positive operators preserving operator means, 8thDebrecen-Katowice Winter Seminar on Functional Equationsand Inequalities, January 30 - February 2, 2008, Poroszlo, Hun-gary.

210

86. Order automorphisms of quantum observables and effects, 6thWorkshop on Functional Analysis and its Applications in Math-ematical Physics and Optimal Control, September 10–15, 2007,Nemecka, Slovak Republic.

87. Monotone transformations on quantum observables and effectswith respect to different orders, 45th International Symposiumon Functional Equations, June 24 - July 1, 2007, Bielsko-Bia la,Poland.

88. Megorzesi problemak, Conference on 10th Anniversary of theBolyai Research Fellowship, Hungarian Academy of Sciences,April 26, 2007, Budapest, Hungary.

89. Preserver problems, Mathematical Institute of The SlovakAcademy of Sciences, March 20, 2007, Bratislava, Slovakia.

90. Preserver problems, Festkolloquium, Fachrichtung Mathe-matik, Technische Universitat Dresden, December 11, 2006,Dresden, Germany.

91. Megorzesi transzformaciok, ”Generations in Science” Confer-ence at the Hungarian Academy of Sciences, December 1, 2006,Budapest, Hungary

92. Additivity of multiplicative maps on structures of linear opera-tors, Second Short Workshop on Operator Theory, AgriculturalUniversity of Krakow, June 24-27, 2006, Krakow, Poland.

93. Additivity of multiplicative maps on structures of linear opera-tors, 44th International Symposium on Functional Equations,May 14–21, 2006, Louisville, Kentucky, USA.

94. Operatorstrukturak multiplikatıv lekepezeseinek additivitasa”Functional equations, harmonic analysis, spectral synthesis”Meeting of the Division of Mathematics of the Hungarian Acad-emy of Sciences, May 2, 2006, Budapest, Hungary.

95. Multiplicative maps on algebraic structures of linear operators,Seminar of the Department of Mathematics, Pedagogical Fac-ulty, University of Maribor, December 21, 2005, Maribor Slove-nia.

96. Wigner teteletol a lokalis automorfizmusokig, Joint Seminar ofthe Institute of Mathematics and the Faculty of Informatics,University of Debrecen, December 1, 2005, Debrecen, Hungary.

211

97. Preservers on quantum structures, Hungarian-Croatian Work-shop on Informatics and Mathematics, October 5–8, 2005, De-brecen, Hungary.

98. Non-linear Jordan triple automorphisms of sets of self-adjointmatrices and operators, 5th Workshop on Functional Analy-sis and its Applications in Mathematical Physics and OptimalControl, September 12–17, 2005, Nemecka, Slovak Republic.

99. Az onadjungalt operatorok halmazanak transzformacioirol,”Functionalanalysis” Meeting of the Division of Mathematicsof the Hungarian Academy of Sciences, June 8, 2005, Budapest,Hungary.

100. Characterizations of the determinant on sets of Hermitian ma-trices, 43th International Symposium on Functional Equations,May 15–21, 2005, Batz-sur-Mer, France.

101. Isometries of quantum effects, 42nd International Sympo-sium on Functional Equations, June 20–27, 2004, Hradec nadMoravici, Czech Republic.

102. Preservers on Hilbert space effects, 5th Joint Conference onMathematics and Computer Science, June 9–12, 2004, Debre-cen, Hungary.

103. A kvantumallapotok halmazanak transzformacioirol, Seminaron Analysis, Institute of Mathematics, Technical University ofBudapest, June 7, 2004, Budapest, Hungary.

104. A kvantumallapotok halmazanak transzformacioirol, ”Func-tional Equations and Inequalities” Meeting of the Division ofMathematics of the Hungarian Academy of Sciences, May 12,2004, Budapest, Hungary.

105. Some preservers on the set of bounded observables, 4th Work-shop on Functional Analysis and its Applications in Mathe-matical Physics and Optimal Control, September 8–13, 2003,Nemecka, Slovak Republic.

106. Preservers on quantum structures, Seminar talk of the Instituteof Analysis, Technical University of Dresden, June 5, 2003,Dresden, Germany.

107. Some preservers on density operators, Conference on Topolog-ical Algebras, Their Applications, and Related Results (to cel-

ebrate the 70th birthday of Professor Wieslaw Zelazko), May11–17, 2003, Bedlewo, Poland.

212

108. Megorzesi problemak Hilbert-ter operatorok algebrai struktura-in, Seminar talk of the Bolyai Institute of the University ofSzeged, April 25, 2002, Szeged, Hungary.

109. Some preserver problems in structures of Hilbert space opera-tors appearing in quantum mechanics, Seminar of the Instituteof Mathematics, Physics and Mechanics, University of Ljubl-jana, March 27, 2002, Ljubljana, Slovenia.

110. Local automorphisms, 3rd Analysis Miniseminar (Dedicated toL. Losonczi’s 60th birthday) Hungarian Academy of Sciences,Local Commission in Debrecen, October 13, 2001, Debrecen,Hungary.

111. Ortho-order automorphisms of Hilbert space effect algebras,The 8th International Conference on Functional Equations andInequalities, September 10–15, 2001, Zlockie, Poland.

112. Transformations on the set of all n-dimensional subspaces ofa Hilbert space preserving principal angles, 3nd Workshopon Functional Analysis and its Applications in MathematicalPhysics and Optimal Control, September 4–9, 2001, Nemecka,Slovak Republic.

113. Transformations on the set of all n-dimensional subspaces ofa Hilbert space preserving principal angles, 39th InternationalSymposium on Functional Equations, August 12–18, 2001,Sandbjerg Estate, Denmark.

114. Hilbert-ter effektjei halmazanak automorfizmusairol, Seminaron Analysis, Institute of Mathematics, Technical University ofBudapest, April 9, 2001, Budapest, Hungary.

115. On the automorphisms of effect algebras, Seminar talk at thejoint Ljubljana-Maribor Seminar, Institute of Mathematics,Physics and Mechanics, University of Ljubljana and Depart-ment of Mathematics, University of Maribor, February 15,2001, Slovenia.

116. Generalizations of Wigner’s theorem on symmetry transforma-tions, Seminar talk at the Technical University of Dresden,November 17, 2000, Dresden, Germany.

117. Local automorphisms and local isometries of operator algebras,Seminar talk at the Technical University of Dresden, November16, 2000, Dresden, Germany.

213

118. Generalizations of Wigner’s theorem on symmetries, QuantumProbability: Probability and Operator Algebras with Applica-tions in Mathematical Physics, August 31 – September 6, 2000,God, Hungary.

119. On the additivity of multiplicative maps on operator algebras,38th International Symposium on Functional Equations, June11–18, 2000, Noszvaly, Hungary.

120. Nehany fuggvenyegyenletrol operatoralgebrakon, ”FunctionalEquations” Meeting of the Division of Mathematics of the Hun-garian Academy of Sciences, May 10, 2000, Budapest, Hungary.

121. Isomorphisms of standard operator algebras, 90 Years of TheReproducing Kernel Property, Jagiellonian University, April17-21, 2000, Krakow, Poland.

122. Operatoralgebrak felcsoport izomorfizmusairol, Seminar talk atEotvos Lorand University, April 3, 2000, Budapest, Hungary.

123. *-semigroup endomorphisms of B(H), Seminar on FunctionalAnalysis, Jagiellonian University, October 12, 1999, Krakow,Poland.

124. Reflexivity of the automorphism and isometry groups of opera-tor algebras, Seminar of the Mathematical Institute of the Pol-ish Academy of Sciences at Krakow, October 11, 1999, Krakow,Poland.

125. Wigner’s unitary-antiunitary theorem for Hilbert modules, 2ndWorkshop on Functional Analysis and its Applications in Math-ematical Physics and Optimal Control, September 13-18, 1999,Nemecka, Slovak Republic.

126. Local automorphisms of some quantum mechanical structures,Functional Analysis and Applications: Memorial Conferencefor Bela Szokefalvi-Nagy, August 2-6, 1999, Szeged, Hungary.

127. Operatoralgebrak lekepezeseinek reflexivitasa, Seminar on Anal-ysis, Institute of Mathematics, Technical University of Bu-dapest, June 7, 1999, Budapest, Hungary.

128. Nehany gyuruelmeleti eredmeny alkalmazasa operatoralgebraiproblemakra, Seminar of the Department of Algebra, Mathe-matical Research Institute of the Hungarian Academy of Sci-ences, May 17, 1999, Budapest, Hungary.

214

129. Spring School on Functional Analysis, April 18–24, 1999,Paseky, Czech Republic.

130. Multiplicative preservers on operator algebras, Seminar of theDepartment of Mathematics, University of Maribor, March 1,1999, Maribor, Slovenia.

131. A Wigner uniter-antiuniter tetel egy algebrai bizonyıtasa, Sem-inar talk at Eotvos Lorand University, October 20, 1998, Bu-dapest, Hungary.

132. A Wigner uniter-antiuniter tetel egy algebrai bizonyıtasa, Shortconference on the occasion of B. Szokefalvi-Nagy’s 85th birth-day, September 30, 1998, Szeged, Hungary.

133. Reflexivity of the automorphism and isometry groups of oper-ator algebras, The 17th International Conference on OperatorTheory, June 23–26, 1998, Timisoara, Romania.

134. Stability of the surjectivity of endomorphisms and isometriesof B(H), Numbers, Functions, Equations’98, June 1–6, 1998,Noszvaly, Hungary.

135. An algebraic approach to Wigner’s unitary-antiunitary theo-rem, 36th International Symposium on Functional Equations,May 24–30, 1998, Brno, Czech Republic.

136. Reflexivity of the automorphism and isometry groups of oper-ator algebras, Joint Seminar on Functional Analysis and C∗-algebras, University of Paderborn, July 3, 1997, Paderborn,Germany.

137. Reflexivity of the automorphism and isometry groups of oper-ator algebras and the Stone-Cech compactification, Obersemi-nar Funktionentheorie/Zahlentheorie, University of Paderborn,June 4, 1997, Paderborn, Germany.

138. Jordan *-derivations on operator algebras, Joint Graz-MariborWorkshop on Derivations and Functional Equations, November29 – 30, 1996, Maribor, Slovenia.

139. Additive mappings approximated by positive operators on op-erator ideals, ICAOR International Conference on Approxima-tion and Optimization, July 29 – August 1, 1996, Cluj-Napoca,Romania.

140. Algebraic differences among group algebras of compact infinitegroups : The nonexistence of a surjective ring homomorphism

215

from Lp(G) onto Lq(G′), Ring Theory Conference, A satelliteconference of the Second European Congress in Mathematics,July 15–20, 1996, Miskolc, Hungary.

141. Topological reflexivity of the automorphism and isometrygroups of B(H), The 16th International Conference on Op-erator Theory, July 2–8, 1996, Timisoara, Romania.

142. Characterization of additive *-homomorphisms and Jordan *-homomorphisms on operator ideals, 34th International Sym-posium on Functional Equations, June 10–19, 1996, Wisla-Jawornik, Poland.

143. Reflexivity in the space of linear transformations on an operatoralgebra, Seminar of the University of Maribor, April 4, 1996,Maribor, Slovenia.

144. Automatic surjectivity of ring homomorphisms on H∗-algebrasand algebraic differences among some group algebras of com-pact groups, Stefan Banach International Mathematical Cen-ter, LINEAR OPERATORS II, January 8–February 22, 1996,Warszawa, Poland.

145. Two characterizations of additive *-automorphisms of B(H),The 5th International Conference on Functional Equations andInequalities, September 4–9, 1995, Zlockie, Poland.

146. Wigner’s unitary-antiunitary theorem via Herstein’s theoremon Jordan homomorphisms, First Joint Workshop on ModernApplied Mathematics, June 12–16, 1995, Ilieni (Illyefalva), Ro-mania.

147. Automatic surjectivity of endomorphisms of operator algebras,Seminar of the University of Maribor, June 2, 1995, Maribor,Slovenia.

148. Recent results on automatic surjectivity of *-endomorphismsof operator algebras, 2nd Debrecen-Graz Seminar, May 11–14,1995, Zamardi, Hungary.

149. Isomorphisms of operator ideals, First Slovenian Congress ofMathematics, October 20–22, 1994, Ljubljana, Slovenia.

150. Operator idealok izomorfizmusa, Seminar of the Institute ofMathematics and Informatics, Lajos Kossuth University, Sep-tember 29, 1994, Debrecen, Hungary.

216

151. The range of a Jordan *-derivation, The 15th InternationalConference on Operator Theory, June 6–10, 1994, Timisoara,Romania.

152. p-classes of an H∗-algebra, XIII. Osterreichischer Mathematik-erkongreß, September 20–24, 1993, Linz, Austria.

153. On local derivations of operator algebras, 31st InternationalSymposium on Functional Equations, August 22–28, 1993, De-brecen, Hungary.

154. On compact operators, TEMPUS Summer School, August 9–28, 1993, Debrecen, Hungary.

217

REFEREE WORK

Referee for Grants

— Hungarian National Foundation for Scientific Research— King Fahd University of Petroleum and Minerals, Dhahran,

Saudi Arabia— Ministry of Education, Science and Sport, Slovenia— Ministry of Science, Education and Sports, Croatia— The Natural Sciences and Engineering Research Council of

Canada

Referee’s Reports for Journals and Books

— Abstr. Appl. Anal.— Acta Acad. Paedagog. Agriensis Sect. Mat. N.S.— Acta Math. Hung.— Acta Math. Acad. Paedagog. Nyhaziensis. N.S.— Acta Math. Scientia— Acta Math. Sinica— Acta Sci. Math. (Szeged)— Aequationes Math.— Ann. Pol. Math.— Arch. Math.— Banach Cent. Publ.— Banach J. Math. Anal.— Bull. Belgian Math. Soc.— Bull. Korean Math. Soc.— Canad. Math. Bull.— Cent. Eur. J. Math. (CEJM)— Colloq. Math.— Commun. Math. Phys.— Complex Anal. Oper. Theory— Electr. J. Lin. Alg.— Found. Phys.— Function Spaces, K. Jarosz, Edt. Contemporary Mathematics

vol. 328, American Mathematical Society, 2003.— Function Spaces, K. Jarosz, Edt. Contemporary Mathematics

vol. 435, American Mathematical Society, 2007.— Function Spaces in Modern Analysis, K. Jarosz, Edt. Contem-

porary Mathematics vol. 547, American Mathematical Society,2011.

218

— Functional Equations – Results and Applications, Z. Daroczyand Zs. Pales (eds.), Advances in Mathematics, vol 3., KluwerAcad. Publ., Dordrecht, 2001.

— Glasnik Math.— Houston J. Math.— Illinois J. Math.— Indian J. Pure Appl. Math.— Inequalities and Applications – Proceedings of the Conference

on Inequalities and Applications ’07, International Series of Nu-merical Mathematics, Birkhauser Verlag.

— Integral Equations Operator Theory— Int. J. Math. Math. Sci.— Int. J. Theor. Phys.— Israel J. Math.— J. Applied Math.— J. Funct. Space Appl.— J. Ineq. Appl.— J. Ineq. Pure Appl. Math.— J. Austral. Math. Soc.— J. London Math. Soc.— J. Math. Anal.— J. Math. Anal. Appl.— J. Math. Phys.— J. Oper. Theo.— Linear Algebra Appl.— Linear Multilinear Algebra— Math. Phys. Anal. Geom.— Math. Slovaca— Math. Z.— Miskolc Math. Notes— Monatsh. Math.— Oper. Matrices— Period. Math. Hungar.— Proc. Amer. Math. Soc.— Proc. Edinburgh Math. Soc.— Publ. Math. (Debrecen)— Real Anal. Exchange— Rep. Math. Phys.— Rocky Mountain J. Math.— SIAM J. Matrix Anal. Appl.— Studia Math.— Studia Sci. Math. Hung.— Topology Appl.— Z. Anal. Anwend.

219

Reviews

— Math. Rev.— Zbl. Math.

Book Reviews

— Publ. Math. Debrecen

lajos molnar { professional dataneumann.math.unideb.hu/~molnarl/cvteljes.pdf · mathematics 3 (in...

Documents