Proc 109 3 Print Matter

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VOLUME 109 NUMBER 3 JULY 1990

)LENUMBER 373

ProceedingsJL of theAMERICAN MATHEMATICAL SOCIETY

EDITED BY

William AdamsJ. Marshall AshMaurice AuslanderAndreas R. BlassAndrew M. Bruckner

Dennis BurkeFrederick R. CohenWilliam J. Davis, Managing EditorClifford J. Earle, Jr.Lawrence F. GrayPalle E. T. JorgensenJeffry N. KahnBarbara L. KeyfitzKenneth R. Meyer

Paul S. MuhlyGeorge C. PapanicolaouLouis J. Ratliff, Jr.Jonathan M. RosenbergJames E. WestWarren J. Wong

PROVIDENCE, RHODEISLAND USA

ISSN0002-9939


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Proceedings of the American Mathematical Society

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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, COMPUTER SCIENCE AND INFORMATION THEORY (05 15 68 94)Jeffry N. Kahn, Department of Mathematics, Rutgers University, New Brunswick, New Jersey

08903COMMUTATIVE ALGEBRA (06 12 13 14 15 18)

Louis J. Ratliff, Jr., Department of Mathematics. University of California. Riverside, California92502

GENERAL ALGEBRA (16 17 18 08)Maurice Auslander, Department of Mathematics, Brandeis University, P.O. Box 9110,

Waltham, Massachusetts 02254-9110GROUP THEORY (20)

Warren J. Wong, Department of Mathematics, University of Notre Dame, Notre Dame, Indiana46556

ALGEBRAIC AND DIFFERENTIAL TOPOLOGY (55 57 58)Frederick R. Cohen, Department of Mathematics, University of Rochester, Rochester, NewYork 14627

REAL VARIABLES (26 28 40)Andrew M. Bruckner, Department of Mathematics, University of California, Santa Barbara,

California 93106

COMPLEX VARIABLES(30 31 32)Clifford J. Earle Jr., Cornell University, White Hall, Ithaca, New York 14853

NUMBER THEORY (11)William Adams, Department of Mathematics, University of Maryland, College Park, Maryland

20742ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (33 34 39 49 58)

Kenneth R. Meyer, Department of Mathematical Sciences, University of Cincinnati, Cincinnati,

Ohio45221-0025

PARTIAL DIFFERENTIAL EQUATIONS (35 49)Barbara L. Keyfitz, Department of Mathematics, University of Houston, Houston, Texas 77204-

3476GENERAL 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

L7E GROUPS AND GEOMETRY (22 51 53)

Jonathan M. Rosenberg, Department of Mathematics, University of Maryland, College Park,Maryland 20742

GENERAL 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)Lawrence F. Gray, Department of Mathematics, University of Minnesota, Minneapolis,

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

Institute, 251 Mercer Street, New York, New York 10012

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


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CONTENTSContinued from back cover

G. TOPOLOGY

A stable/unstable"manifold"

theorem for area preserving homeomorphisms of two mani-

folds. By Stewart Baldwin and Edward E. Slaminka . 823

Subdominant ultrametrics . By Jos M. Bayod and J. Martnez-Maurica. 829

A construction of a Dowker space. By Stephen Watson. 835

Eigenvalue comparison for tubular domains. By Jeffrey M. Lee. 843

Centralizers of immersions of the circle . By Carlos Arteaga . 849

A note on Weinstein's conjecture. By Augustin Banyaga. 855


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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 109, No. 3 JULY 1990 Whole No. 373

A. ALGEBRA AND NUMBER THEORY

The diophantine equation f(x) = g(y). By Todd Cochrane. 573Two families of stable bundles with the same spectrum. By A. P. Rao. 579

Growth functions for residually torsion-free nilpotent groups . By Roger C. Alperin and

Brian L. Peterson. 585

On theta pairs for a maximal subgroup. ByN. P. Mukherjee and Prabir Bhattacharya 589

Evaluation of the infinite series J2n=i (") n~x- By Kenneth Hardy and

Kenneth S. Williams. 597

Priestley spaces. By P. Venugopalan. 605

The relative form of Gersten's conjecture for power series over a complete discrete valuation

ring. By L. Red and C. Sherman. 611

Unique subwords in nonperiodic words. By C. M. Weinbaum . 615

Modular extensions. By Shizuka Sato. 621

Nodal quintic threefolds and nodal octic surfaces . By Ciprian Borcea. 627

/-linked overrings as intersections of localizations . By David E. Dobbs, Evan G. Houston,

Thomas G. Lucas, and Muhammad Zafrullah. 637

Hall subgroup normalizers and character correspondences in M -groups. By I. M. Isaacs 647

B. ANALYSIS

Periodic solutions for nonlinear evolution equations in a Banach space. By Ioan I. Vrabie 653

The converse of the Minkowski's inequality theorem and its generalization.By Janusz Matkowski. 663

Weak convergence and weak compactness for multifunctions with values in a separable

Banach space. By Nikolaos S. Papageorgiou. 677The Haagerup type cross norm on C*-algebras. By Takashi Itoh . 689

The operator inequality P < A"PA . By B. P. Duggal . 697

Topological rationalization of a class of meromorphic functions. By A. Meziani. 699

Commutativity in operator algebras . By David P. Blecher . 709

A property of purely infinite simple C*-algebras. By Shuang Zhang. 717

Hilbert-Schmidt Hankel operators on the Bergman space. By Kehe Zhu. 721

An extreme absolutely continuous ^/'-measure. By John N. McDonald . 731

Descriptions of nest algebras. By M. Anoussis and E. G. Katsoulis . 739

When does ca(L, X) contain a copy of loo or cqI. By Lech Drewnowski. 747

Spectral pictures of hyponormal bilateral operator weighted shifts.

By Domingo A. Herrero. 753Geometric finiteness of certain Kleinian groups. By G. P. Scott and G. A. Swarup . . . 765

Nonoscillatory solutions of second order differential equations with integrable coefficients.

By Manabu Naito. 769

Hypercompletions of Riesz spaces. By Wolfgang Filter. 775

Stable rank of subalgebras of the ball algebras . By Rudolf Rupp. 781

D. GEOMETRY

Lower bounds for the extrinsic total curvatures of a space-like codimension 2 surface in

Minkowski space . By Marek Kossowski. 787

Minimal shell of a typical convex body . By Andreana Zueco. 797

Multiplier groups of planar difference sets and a theorem of Kantor . By Chat Yin Ho

and Alexander Pott. 803

E. LOGIC AND FOUNDATIONS

Lifting theorems in nonstandard measure theory. By David Ross. 809

(Continued on inside back cover)

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Proc 109 3 Print Matter