Commutative Algebras of Toeplitz Operators on the Bergman Space

丛 书 名：Operator Theory: Advances and Applications

版本说明：2008

作     者：Nikolai Vasilevski 

I S B N：(纸本) 9783764387259 

出 版 社：Birkhäuser Basel 

出 版 年：2008年

页      数：xxix, 417 p. :页

主 题 词：Commutative algebra..Toeplitz operators..Bergman spaces. 

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

馆 藏 号：201828851...

摘      要：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.