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...
保存先:
| 第一著者: | |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2008. |
| シリーズ: | Operator Theory: Advances and Applications
185 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
L'impression du document génère 433 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
| 要約: | 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 properties of Toeplitz operators. The book is addressed to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in complex analysis and operator theory |
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| 記述事項: | L'impression du document génère 433 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| 書誌: | Bibliogr. Index |
| ISBN: | 9783764387266 |
| ISSN: | 2296-4878 |
| アクセス: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |