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作者 Vasilevski, Nikolai
書名 Commutative Algebras of Toeplitz Operators on the Bergman Space
出版項 Basel : Springer Basel AG, 2008
國際標準書號 9783764387266 (electronic bk.)
book jacket
說明 1 online resource (443 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Operator Theory: Advances and Applications Ser. ; v.185
Operator Theory: Advances and Applications Ser
附註 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
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Vasilevski, Nikolai Commutative Algebras of Toeplitz Operators on the Bergman Space Basel : Springer Basel AG,c2008 9783764387259
主題 Bergman spaces.;Commutative algebra.;Toeplitz operators
Electronic books
Alt Author Arazy, J
Arazy, J
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