maurice auslanderfunctional analysis and operator theory (46 47) palle e. t. jorgensen, university...

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EDITED BY William Adams J. Marshall Ash Maurice Auslander Andreas R. Blass Thomas H. Brylawski Dennis Burke Frederick R. Cohen William J. Davis, Managing Editor Clifford J. Earle, Jr. Palle E. T. Jorgensen Barbara L. Keyfitz R. Daniel Mauldin Kenneth R. Meyer Paul S. Muhly Andrew Odlyzko George C. Papanicolaou Louis J. Ratliff, Jr. Jonathan M. Rosenberg William D. Sudderth James E. West Warren J. Wong PROVIDENCE, RHODEISLAND USA ISSN0002-9939

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Page 1: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

EDITED BY

William AdamsJ. Marshall AshMaurice AuslanderAndreas R. BlassThomas H. BrylawskiDennis BurkeFrederick R. CohenWilliam J. Davis, Managing EditorClifford J. Earle, Jr.Palle E. T. JorgensenBarbara L. KeyfitzR. Daniel MauldinKenneth R. MeyerPaul S. MuhlyAndrew OdlyzkoGeorge C. PapanicolaouLouis J. Ratliff, Jr.Jonathan M. RosenbergWilliam D. SudderthJames E. WestWarren J. Wong

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

Page 2: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

Proceedings of the American Mathematical Society

This journal is devoted entirely to research in pure and applied mathematics.

Editorial Policy

To be published in the Proceedings, a paper must be correct, new, nontrivialand significant. Further, it must be well written and of interest to a substantial

number of mathematicians. Piecemeal results, such as an inconclusive steptoward an unproved major theorem or a minor variation on a known result,

are in general not acceptable for publication. Proceedings Editors shall solicit,and encourage publication of, worthy papers of length not exceeding 15 typed

pages.Very short notes not to exceed two printed pages are also accepted, and

appear under the heading Shorter notes. Items deemed suitable include anelegant new proof of an important and well-known theorem, an illluminating

example or counterexample, or a new viewpoint on familiar results. New results,

if of a brief and striking character, might also be acceptable, though in generala paper which is merely very short will not be suitable for the Shorter notes

department.On January 23, 1979, the Council of the American Mathematical Society

abolished blind refereeing as a policy for the Proceedings, but decided that any

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the manuscript refereed blind.Two copies of a manuscript should be submitted. If blind refereeing is

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to the referee without disclosure of the author's name or institution.

SUBSCRIPTION INFORMATION. PROCEEDINGS OF THE AMERICAN MATHEMATI-CAL SOCIETY is published monthly. Subscription prices for Volumes 105-107 (1989) are $413list; $330 institutional member; $248 individual member. A late charge of 10% of the subscription

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Copyright ©1989 American Mathematical Society. All rights reserved.

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Page 3: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

Manuscript Information

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Page 4: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

Submission of Manuscript

Send papers directly to one of the editors listed under the subject field of the paper. The numbersin parentheses are the first two digits of major classification from the 1980 Mathematics SubjectClassification (1985 Revision) and describe the fields being handled by the editor.

LOGIC AND FOUNDATIONS (03 04)Andreas R. Blass, Department of Mathematics, University of Michigan, Ann Arbor, Michigan

48109-1003COMBINATORICS AND DISCRETE MATHEMATICS (05 15)

Thomas H. Brylawski, Department of Mathematics, University of North Carolina, Chapel Hill,

North Carolina 27514COMBINATORICS, COMPUTER SCIENCE AND INFORMATION THEORY (05 68 94)

Andrew Odlyzko, Room 2C-370, Bell Laboratories, Murray Hill, New Jersey 07974

COMMUTATIVE ALGEBRA (06 12 13 14 15 18)Louis J. Ratliff, Jr., Department of Mathematics, University of California, Riverside, California

92502GENERAL ALGEBRA (16 17 18 08)

Maurice Auslander, Department of Mathematics, Brandeis University, P.O. Box 9110,Waltham, Massachusetts 02254-9110

GROUP THEORY (20)Warren J. Wong, Department of Mathematics, University of Notre Dame, Notre Dame, Indiana

46556ALGEBRAIC AND DIFFERENTIAL TOPOLOGY (55 57 58)

Frederick R. Cohen, Department of Mathematics, University of Kentucky, Lexington, Kentucky40506

REAL VARIABLES (26 28 40)R. Daniel Mauldin, Department of Mathematics, North Texas State University, Dentón, Texas

76203COMPLEX VARIABLES (30 31 32)

Clifford J. Earle Jr., Cornell University, White Hall, Ithaca, New York 14853NUMBER THEORY (11)

William Adams, Department of Mathematics, University of Maryland, College Park, MD 20742

ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (33 34 39 49 58)Kenneth R. Meyer, Department of Mathematical Sciences, University of Cincinnati, Cincinnati,

Ohio 45221-0025PARTIAL DIFFERENTIAL EQUATIONS (35 49)

Barbara Lee Keyfitz, Institute for Mathematics and Its Applications, University of Minnesota,514 Vincent Hall, 206 Church Street S. E., Minneapolis, MN 55455

GENERAL ANALYSIS (41 42 43 44 45)J. Marshall Ash, Department of Mathematics, DePaul University, Chicago, Illinois 60614

FUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47)Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242

FUNCTIONAL ANALYSIS AND CONVEXITY (46 52)William J. Davis, Department of Mathematics, Ohio State University, Columbus, Ohio 43210

COMPLEX VARIABLES, FUNCTIONAL ANALYSIS AND OPERATOR THEORY (30 46 47)Paul S. Muhly, Department of Mathematics, University of Iowa, Iowa City, Iowa 52242

LIE GROUPS AND GEOMETRY (22 51 53)Jonathan M. Rosenberg, Department of Mathematics, University of Maryland, College Park,

Maryland 20742GENERAL TOPOLOGY (54)

Dennis Burke, Department of Mathematics, Miami University of Ohio, Oxford, Ohio 45056James E. West, Department of Mathematics, Cornell University, Ithaca, New York 14853

PROBABILITY AND CERTAIN OTHER FIELDS (60-94 inclusive)William D. Sudderth, Department of Statistics, University of Minnesota, Minneapolis, Min-

nesota 55455George C. Papanicolaou, Applied Mathematics Division, New York University-Courant Insti-

tute, 251 Mercer Street, New York, New York 10012

All other communications should be addressed to the Managing Editor, William J. Davis, atthe above address.

ABCDEFGHIJ-89

Page 5: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

CONTENTS—Continued from back cover

A cusp closing theorem. By Viktor Schroeder. 797

Spheres with locally pinched metrics. By Robert J. Currier. 803

G. TOPOLOGY

Highest weight modules for Hermitian symmetric pairs of exceptional type. By

Thomas J. Enright and Brad Shelton. 807

Strong homology and the proper forcing axiom. By Alan Dow, Petr Simon and

Jerry E. Vaughan . 821

Large groups of symmetries of handlebodies. By A. Miller and B. Zimmermann. 829

Stone-Cech remainders which make continuous images normal. By William Fleissner

and Ronnie Levy. 839

Mosco convergence and the Kadec property. By Jonathan M. Borwein and

Simon Fitzpatrick. 843

Cofinal families of compact subsets of an analytic set. By Howard Becker.'.. 853

SHORTER NOTE

Errata to "Extensions

of continuous functions from dense subspaces." By Robert L. Blair 857

Page 6: Maurice AuslanderFUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47) Palle E. T. Jorgensen, University of Iowa, Iowa City, Iowa 52242 FUNCTIONAL ANALYSIS AND CONVEXITY (46 52) William

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 106, No. 3 July 1989 Whole No. 361

A. ALGEBRA AND NUMBER THEORY

Surface subgroups of graph groups. By Herman Servatius, Carl Droms and

Brigitte Servatius . 573

On the coherence and weak dimension of the rings R(x) and R(x). By Sarah Glaz. 579

The conjugacy problem for finite graph products. By K. J. Horadam. 589

When are Rees congruences principal?. By C. M. Reis. 593

The diophantine equation x2 = Aqn + 4qm + 1. By Maohua Le. 599

Characterizations of the conjugacy of Sylow /7-subgroups of CC-groups. By J. Otal and

J. M. Peña. 605

On the Popov-Pommerening conjecture for groups of type An. By Lin Tan. 611

Algebraic properties of the shift mapping. By Patrick Dehornoy. 617

Classification of finite groups with all elements of prime order. By Marian Deaconescu 625

On the imbedding of a direct product into a zero-dimensional commutative ring. By

Robert Gilmer and William Heinzer. 631

An identity in the free Lie algebra. By David Wigner. 639

B. ANALYSIS

The Cauchy functional equations in distributions. By E. L. Koh. 641

Sturm-Liouville equations with Besicovitch almost-periodicity. By A. Dzurnak and

A. B. Mingarelli. 647

A weak-type estimate for Fourier-Bessel multipliers. By John Gosselin and

Krzysztof Stempak. 655

A short proof of the Grigorchuk-Cohen cogrowth theorem. By Ryszard Szwarc. 663

Second order differential equations with rational coefficients. By A. Hinkkanen and

John Rossi. 667

Composition operators induced by functions with supremum strictly smaller than 1. By

Nina Zorboska . 679

On the classification of homogeneous multipliers bounded on //'(R2). By James E. Daly

and Keith Phillips. 685

On the second derivatives of convex functions on Hubert spaces. By Nobuyuki Kato ... 697

Isometries of spaces of weak* continuous functions. By Michael Cambern and

Krzysztof Jarosz. 707

Canonical domains on Riemann surfaces. By Bernard Maskit. 713

On metric spaces with uniform normal structure. By M. A. Khamsi. 723

Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater.

By F. J. Martin-Reyes and E. Sawyer. 727

Non-negative solutions for a class of radially symmetric non-positone problems. By

Alfonso Castro and R. Shivaji. 735

A result on nearness of functions and their regular C-fraction expansions. By Lisa Jacobsen

and Haakon Waadeland. 741

Weakly constricted operators and Jamison's convergence theorem. By Robert Sine. 751

Existence and nonexistence of radial limits of minimal surfaces. By Kirk E. Lancaster . 757

On two-generator discrete groups of Möbius transformations. By Delin Tan. 763

Upper semicontinuous differential inclusions without convexity. By A. Bressan,

A. Cellina and G Colombo. 771

A strong Parrott theorem. By Ciprian Foias and Allen Tannenbaum. 777

On oscillations of unbounded solutions. By I. Györi, G. Ladas and L. Pakula. 785

D. GEOMETRY

Remarks on the rigidity and stability of minimal submanifolds. By Makoto Sakaki. 793

(Continued on inside back cover)