Multiplication operators on the Bergman space
Author(s)
Bibliographic Information
Multiplication operators on the Bergman space
（Lecture notes in mathematics, 2145）
Springer, c2015
Available at / 44 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2145200033967636
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Note
Includes bibliographical references (p. 313-320) and index
Description and Table of Contents
Description
This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area.
Table of Contents
Introduction.- Some preliminaries.- Cowen-Thomson's theorem.- Reducing subspaces associated eith finite Blaschke products.- Reducing subspaces associated with thin Blaschke products.- Covering maps and von Neumann algebras.- Operator-theoretic aspect on von Neumann algebras.- Similarity and unitary equivalence.
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