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Commutative Algebras of Toeplitz Operators on the Bergman Space

Commutative Algebras of Toeplitz Operators on the Bergman Space by Nikolai Vasilevski
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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.

Birkhäuser Basel; November 2008
443 pages; ISBN 9783764387266
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Title: Commutative Algebras of Toeplitz Operators on the Bergman Space
Author: Nikolai Vasilevski
 
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