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...
Zapisane w:
| 1. autor: | |
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| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2008. |
| Seria: | Operator Theory: Advances and Applications
185 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
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 |
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| 041 | 0 | |a eng | |
| 082 | |a 515.724 | ||
| 084 | |a 30C40. 2010 | ||
| 084 | |a 46E22. 2010 | ||
| 084 | |a 47A25. 2010 | ||
| 084 | |a 47B35. 2010 | ||
| 084 | |a 47L80. 2010 | ||
| 100 | 1 | |a Vasilevski, Nikolai L., |d 1948- | |
| 245 | 1 | 0 | |a Commutative Algebras of Toeplitz Operators on the Bergman Space |c Nikolai L. Vasilevski. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 185 |x 2296-4878 | |
| 500 | |a L'impression du document génère 433 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Algèbres commutatives | ||
| 650 | |a Opérateurs de Toeplitz | ||
| 650 | |a Noyaux de Bergman | ||
| 776 | 0 | |0 12759471X |t Commutative algebras of Toeplitz operators on the Bergman space |f Nikolai L. Vasilevski |d 2008 |c Basel |n Birkhäuser |p 1 vol. (xxix-417 p.) |s Operator theory, advances and applications |z 978-3-7643-8725-9 | |
| 776 | 0 | |t Commutative Algebras of Toeplitz Operators on the Bergman Space |b Texte imprimé |z 9783764398095 | |
| 776 | 0 | |0 12759471X |t Commutative algebras of Toeplitz operators on the Bergman space |f Nikolai L. Vasilevski |d 2008 |c Basel |n Birkhäuser |p 1 vol. (xxix-417 p.) |s Operator theory, advances and applications |z 978-3-7643-8725-9 | |
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| 856 | 4 | |5 180339901:750872837 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-8726-6 |z Accès INSA CVL | |
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