9783764387259 - Commutative Algebras of Toeplitz Operators on the Bergman Space: 185 di Vasilevski, Nikolai L. (12 risultati)

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Condizione: New. Commutative Algebras of Toeplitz Operators on the Bergman Space Series: Operator Theory: Advances and Applications. Num Pages: 447 pages, biography. BIC Classification: PBKF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 28. Weight in Grams: 951. . 2008. 2008th Edition. hardcover. . . . .

Condizione: Hervorragend. Zustand: Hervorragend | Seiten: 452 | Sprache: Englisch | Produktart: Bücher | 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.

Condizione: New. Commutative Algebras of Toeplitz Operators on the Bergman Space Series: Operator Theory: Advances and Applications. Num Pages: 447 pages, biography. BIC Classification: PBKF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 28. Weight in Grams: 951. . 2008. 2008th Edition. hardcover. . . . . Books ship from the US and Ireland.

Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 418 pp. Englisch.

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First and unique book in which commutative C*-algebras of Toeplitz operators are consideredStarting from an introduction to the area the book leads readers to new, up-to-date results on the currently very active area of modern operator theory.

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 452 pp. Englisch.