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9783034603461

A Glimpse at Hilbert Space Operators

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  • ISBN13:

    9783034603461

  • ISBN10:

    3034603460

  • Format: Hardcover
  • Copyright: 2010-09-19
  • Publisher: Birkhauser

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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

Prefacep. vii
Paul Halmos
Paul Halmos - Expositor Par Excellencep. 3
Paul Halmos: In His Own Wordsp. 11
Obituary: Paul Halmos, 1916-2006p. 27
Mathematical Review of "How to Write Mathematics"p. 31
Publications of Paulp. 33
Photosp. 41
Articles
What Can Hilbert Spaces Tell Us About Bounded Functions in the Bidisk?p. 81
Dilation Theory Yesterday and Todayp. 99
Toeplitz Operatorsp. 125
Dual Algebras and Invariant Subspacesp. 135
The State of Subnormal Operatorsp. 177
Polynomially Hyponormal Operatorsp. 195
Essentially Normal Operatorsp. 209
The Operator Fejér-Riesz Theoremp. 223
A Halmos Doctrine and Shifts on Hilbert Spacep. 255
The Behavior of Functions of Operators Under Perturbationsp. 287
The Halmos Similarity Problemp. 325
Paul Halmos and Invariant Subspacesp. 341
Commutant Liftingp. 351
Double Cones are Intervalsp. 359
Table of Contents provided by Ingram. All Rights Reserved.

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