Multiplication Operators on the Bergman Space

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. T...

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Hlavní autor: Guo, Kunyu (Autor)
Další autoři: Huang, Hansong (Autor)
Korporace: SpringerLink (online služba)  
Médium: E-kniha
Jazyk:angličtina
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015
Edice:Lecture Notes in Mathematics
Žánr/forma:elektronické knihy
ISBN:978-3-662-46845-6
9783662468463
9783662468449
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On-line přístup:Plný text
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505 0 |a 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 
520 |a 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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