Commutative Algebras of Toeplitz Operators on the Bergman Space

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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Autor principal: Vasilevski, Nikolai L., 1948-
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edició:1st ed. 2008.
Col·lecció:Operator Theory: Advances and Applications 185
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Accés en línia:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: L'impression du document génère 433 p.
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Edition sous un autre format:• Commutative algebras of Toeplitz operators on the Bergman space, Nikolai L. Vasilevski, 2008, Basel, Birkhäuser, 1 vol. (xxix-417 p.), Operator theory, advances and applications, 978-3-7643-8725-9
• Commutative Algebras of Toeplitz Operators on the Bergman Space, Texte imprimé, 9783764398095
• Commutative algebras of Toeplitz operators on the Bergman space, Nikolai L. Vasilevski, 2008, Basel, Birkhäuser, 1 vol. (xxix-417 p.), Operator theory, advances and applications, 978-3-7643-8725-9
Taula de continguts:
  • 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