Commutative algebras of Toeplitz operators on the Bergman space

Commutative algebras of Toeplitz operators on the Bergman space / Nikolai L. Vasilevski.

This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing...

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Bibliographic Details
Main Author: Vasilevski, Nikolai
Format: eBook
Language:English
Published: Basel : [London] : Birkhäuser ; [Springer, distributor], 2008.
Series:Operator theory, advances and applications ; v. 185.
Subjects:
Commutative algebra.
Toeplitz operators.
Bergman spaces.
MATHEMATICS > Functional Analysis.
Álgebra conmutativa
Bergman, Espacios de
Toeplitz, Operadores de
Bergman spaces
Commutative algebra
Toeplitz operators
Bergman-Raum
C-Stern-Algebra
Spektraltheorie
Toeplitz-Operator
Toeplitz-Operator > Bergman-Raum > C-Stern-Algebra > Spektraltheorie.
Bergman-Raum > Toeplitz-Operator > C-Stern-Algebra > Spektraltheorie.
C-Stern-Algebra > Bergman-Raum > Toeplitz-Operator > Spektraltheorie.
Spektraltheorie > Bergman-Raum > C-Stern-Algebra > Toeplitz-Operator.
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Table of Contents:
  • Preliminaries; Prologue; Bergman and Poly-Bergman Spaces; Bergman Type Spaces on the Unit Disk; Toeplitz Operators with Commutative Symbol Algebras; Toeplitz Operators on the Unit Disk with Radial Symbols; Toeplitz Operators on the Upper Half-Plane with Homogeneous Symbols; Anatomy of the Algebra Generated by Toeplitz Operators with Piece-wise continuous Symbols; Commuting Toeplitz Operators and Hyperbolic Geometry; Weighted Bergman Spaces; Commutative Algebras of Toeplitz Operators; Dynamics of Properties of Toeplitz Operators with Radial Symbols.

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