Multiplication Operators on the Bergman Space

Häftad, Engelska, 2015

Del 2145 i serien Lecture Notes in Mathematics

544 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2015-07-07
Mått:155 x 235 x 19 mm
Vikt:505 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:322
Upplaga:2015
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783662468449

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"It is very welcome that the authors have made recent progress in this active area accessible to the community in functional analysis and complex analysis. The reviewer would like to recommend this book strongly to everyone interested in operator theory on Hilbert spaces consisting of holomorphic functions." (Michio Seto, Mathematical Reviews, August, 2016) "The book under review, written by two of the main players in the field, is a summary of the developments in the past fifteen years or so about reducing subspaces of multiplication operators on the Bergman space plus a few other closely related topics. The material is well organized, the presentation is smooth, and the mathematics is simply beautiful. I would recommend the book to anyone who is interested in the Bergman space and multiplication operators on it." (Kehe Zhu, zbMATH 1321.47002, 2015)

Innehållsförteckning

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.