| 书目名称 | Commutative Algebras of Toeplitz Operators on the Bergman Space |
| 编辑 | Nikolai L. Vasilevski |
| 视频video | http://file.papertrans.cn/231/230757/230757.mp4 |
| 概述 | First and unique book in which commutative C*-algebras of Toeplitz operators are considered.Starting from an introduction to the area the book leads readers to new, up-to-date results on the currently |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | .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 their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces. ...The presence and exploitation of these spectral type representations forms the core for many results presented in the book. Among other results it contains a criterion of when the algebras are commutative on each commonly considered weighted Bergman space together with their explicit descriptions; a systematic study of Toeplitz operators with unbounded symbols; a clarification of the difference between compactness of commutators and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral |
| 出版日期 | Book 2008 |
| 关键词 | Bergman space; Complex analysis; Operator algebra; Operator theory; Toeplitz operator |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-8726-6 |
| isbn_ebook | 978-3-7643-8726-6Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Birkhäuser Basel 2008 |
|Archiver|手机版|小黑屋|
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