- 360 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Handbook of Analytic Operator Theory
About this book
Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators.
The volume consists of eleven articles in the general area of analytic function spaces and operators on them. Each contributor focuses on one particular topic, for example, operator theory on the Drury-Aversson space, and presents the material in the form of a survey paper which contains all the major results in the area and includes all relevant references.
The overalp between this volume and existing books in the area is minimal. The material on two-variable weighted shifts by Curto, the Drury-Averson space by Fang and Xia, the Cowen-Douglas class by Misra, and operator theory on the bi-disk by Yang has never appeared in book form before.
Features:
The editor of the handbook is a widely known and published researcher on this topic
The handbook's contributors are a who's=who of top researchers in the area
The first contributed volume on these diverse topics
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Preface
- 1 Fock Space, the Heisenberg Group, Heat Flow, and Toeplitz Operators
- 2 Two-Variable Weighted Shifts in Multivariable Operator Theory
- 3 Commutants, Reducing Subspaces, and von Neumann Algebras
- 4 Operators in the Cowen-Douglas Class and Related Topics
- 5 Toeplitz Operators and Toeplitz C* -Algebras
- 6 Möbius Invariant Qp and QK Spaces
- 7 Analytical Aspects of the Drury-Arveson Space
- 8 A Brief Survey of Operator Theory in H2 (D2)
- 9 Weighted Composition Operators on Some Analytic Function Spaces
- 10 Toeplitz Operators and the Berezin Transform
- 11 Towards a Dictionary for the Bargmann Transform
- Index