A Glimpse at Hilbert Space Operators Paul R. Halmos in Memoriam /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Axler, Sheldon. (Editor), Rosenthal, Peter. (Editor), Sarason, Donald. (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel, 2010.
• Series: Operator Theory Advances and Applications ; 207
• Subjects: Mathematics.; Operator theory.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0347-8

The book is a commemorative volume honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to mathematics in manifold ways, among them by basic research, by unparalleled mathematical exposition, by unselfish service to the mathematical community, and, not least, by the in...

Table of Contents:

• Preface. 1. About Paul Halmos
• 2. Publications of Paul R. Halmos
• 3. Photos
• 4. Articles
• What can Hilbert spaces tell us about bounded functions in the bidisk?
• Dilation theory yesterday and today
• Toeplitz operators
• Dual algebras and invariant subspaces
• The state of subnormal operators
• Polynomially hyponormal operators
• Essentially normal operators
• The operator Fejř-Riesz Theorem
• A Halmos doctrine and shifts on Hilbert space
• The behavior of functions of operators under perturbations
• The Halmos similarity problem
• Halmos and invariant subspaces.