E-Book, Englisch, Band 185, 418 Seiten, eBook
Vasilevski Commutative Algebras of Toeplitz Operators on the Bergman Space
2008
ISBN: 978-3-7643-8726-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 185, 418 Seiten, eBook
Reihe: Operator Theory: Advances and Applications
ISBN: 978-3-7643-8726-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk. Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. The book develops a number of important problems whose successful solution was made possible and is based on the specific features of the Toeplitz operators from these commutative algebras.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Parabolic Case.- Dynamics of Properties of Toeplitz Operators on the Upper Half-Plane: Hyperbolic Case.
