Multiplication operators on the Bergman space / Kunyu Guo and Hansong Huang.
Series: Lecture notes in mathematics ; 2145.Publication details: Berlin : Springer-Verlag, 2015.Description: viii, 322 p. : illustrations ; 24 cmISBN:- 9783662468449
- 515.724 23 G977
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.724 G977 (Browse shelf(Opens below)) | Available | 136752 |
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| 515.724 G614 Basic operator theory | 515.724 G736 Schrodinger operators | 515.724 G874 Stable approximate evaluation of unbounded operators | 515.724 G977 Multiplication operators on the Bergman space / | 515.724 H388 Complex analysis, operators, and related topics | 515.724 H474 Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten laplacians | 515.724 H484 Invariant subspaces and allied topics |
Includes bibliographical references and index.
1. Introduction --
2. Some preliminaries --
3. Cowen-Thomson's theorem --
4. Reducing subspaces associated eith finite Blaschke products --
5. Reducing subspaces associated with thin Blaschke products --
6. Covering maps and von Neumann algebras --
7. Similarity and unitary equivalence --
8. Algebraic structure and reducing subspaces --
A. Berezin transform --
B. Nordgren's results on reducing subspaces --
C. List of problems --
Bibliography --
Index.
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.
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