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Multiplication Operators on the Bergman Space
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Feldname
Details
Dewey Class
515.724
Titel
Multiplication Operators on the Bergman Space ([Ebook]) / Kunyu Guo, Hansong Huang
Verfasser
Guo, Kunyu
Added Personal Name
Huang, Hansong
Veröffentl
Berlin ; Heidelberg : Springer-Verlag , 2015
Physical Details
1 online resource
Reihe
Lecture Notes in Mathematics
; volume 2145
ISBN
978-3-662-46845-6
Summary Note
Preface: The aim of this book is mainly to give an account of recent advancements in the study of multiplication operators on the Bergman space with a new point of view. The main focus will be on commutants and reducing subspaces of multiplication operators on function spaces along with rele vant von Neumann algebras. Relevant techniques include complex analysis, complex geometry, operator theory, and group theory, which altogether yield a fascinating interplay and reveal some natural connections between them. The results and methods involved can be applied to most of the other analytic function spaces.The last four decades have seen dramatic progress in the afore-mentioned topic on commutants and reducing subspaces of multiplication operators, including two main phases of development. The first phase is mainly concerned with the topic of commutants and reducing subspaces of analytic multiplication operators on the Hardy space of the unit disk in the seventies of the last century. Several remarkable advances in this period were achieved mainly by Abrahamse and Douglas [AD], Cowen [Cow1, Cow2, Cow3], Baker et al. [BDU], Deddens and Wong [DW], Nordgren [Nor] and Thomson...:
Mode of acces to digital resource
Digital reproduction.- Berlin : Springer, 2015. - Access through World Wide Web. The book is recorded in PDF format (PDF, 3137 KB) or ePub (ePub, 5441 KB)
System details note
Online access to this digital book is available only for subscription institutions through IP address (only for SISSA users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-46845-6
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Schlagwörter:
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Bergman spaces
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Funtional analysis
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Operator Theory
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Authors:
Guo, Kunyu
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Huang, Hansong
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Series:
Lecture Notes in Mathematics
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Classification:
515.724
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515.724 (DDC 23)
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