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Multiplication Operators on the Bergman Space / by Kunyu Guo, Hansong Huang

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 2145Publisher: Berlin, Heidelberg : Springer, 2015Description: Online-Ressource (VIII, 322 p. 11 illus., 1 illus. in color, online resource)ISBN:
  • 9783662468456
Subject(s): Additional physical formats: 9783662468449 | Druckausg.: Multiplication operators on the Bergman space. Berlin : Springer, 2015. VIII, 322 S.MSC: MSC: *47-02 | 47B35 | 30H20 | 47B38 | 47C15 | 46E40RVK: RVK: SI 850LOC classification:
  • QA329-329.9
DOI: DOI: 10.1007/978-3-662-46845-6Online resources:
Contents:
Summary: 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 equivalenceSummary: 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 areaPPN: PPN: 1657313514Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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