A Glimpse at Hilbert Space Operators

by Axler, Sheldon; Rosenthal, Peter; Sarason, Donald

• ISBN13: 9783034603461
• ISBN10: 3034603460
• Format: Hardcover
• Copyright: 2010-09-19
• Publisher: Birkhauser

Summary

This volume is a memorial to Paul R. Halmos by operator theorists he inspired. It contains expository articles by prominent operator theorists, photos of Paul and taken by Paul, and three tributes to Paul written shortly after his death in 2006. From the expository articles, this generation of operator theorists and future generations will get a glimpse of many aspects of their subject, and of how Paul enriched and advanced it through his fundamental insights and prescient questions. Book jacket.

Table of Contents

Preface	p. vii
Paul Halmos
Paul Halmos - Expositor Par Excellence	p. 3
Paul Halmos: In His Own Words	p. 11
Obituary: Paul Halmos, 1916-2006	p. 27
Mathematical Review of "How to Write Mathematics"	p. 31
Publications of Paul	p. 33
Photos	p. 41
Articles
What Can Hilbert Spaces Tell Us About Bounded Functions in the Bidisk?	p. 81
Dilation Theory Yesterday and Today	p. 99
Toeplitz Operators	p. 125
Dual Algebras and Invariant Subspaces	p. 135
The State of Subnormal Operators	p. 177
Polynomially Hyponormal Operators	p. 195
Essentially Normal Operators	p. 209
The Operator Fejér-Riesz Theorem	p. 223
A Halmos Doctrine and Shifts on Hilbert Space	p. 255
The Behavior of Functions of Operators Under Perturbations	p. 287
The Halmos Similarity Problem	p. 325
Paul Halmos and Invariant Subspaces	p. 341
Commutant Lifting	p. 351
Double Cones are Intervals	p. 359
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