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Multiplication Operators on the Bergman Space / by Kunyu Guo, Hansong Huang.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2380-2384 2385-2389,2392
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Guo, Kunyu, Author.
- Huang, Hansong, Author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2145
- Language:
- English
- Subjects (All):
- Operator theory.
- Functional analysis.
- Operator Theory.
- Functional Analysis.
- Local Subjects:
- Operator Theory.
- Functional Analysis.
- Physical Description:
- 1 online resource (VIII, 322 p. 11 illus., 1 illus. in color.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Includes Index.
- Includes bibliographical references.
- ISBN:
- 3-662-46845-X
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