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Multiplication Operators on the Bergman Space

Multiplication Operators on the Bergman Space
Kataloginformation
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: .
  • Bergman spaces .
  • Funtional analysis .
  • Operator Theory .

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    Kataloginformation30383 Datensatzanfang . Kataloginformation30383 Seitenanfang .
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