Authors:
- Presents the latest developments on commutants and reducing subspaces of multiplication operators on the Bergman space
- Reveals von Neumann algebras generated by multiplication operators on the Bergman space
- Establishes a fascinating connection between operator theory and von Neumann algebra
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2145)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“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)
Authors and Affiliations
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School of Mathematical Sciences, Fudan University, Shanghai, China
Kunyu Guo
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Department of Mathematics, East China University of Science and Technology, Shanghai, China
Hansong Huang
Bibliographic Information
Book Title: Multiplication Operators on the Bergman Space
Authors: Kunyu Guo, Hansong Huang
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-662-46845-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2015
Softcover ISBN: 978-3-662-46844-9Published: 07 July 2015
eBook ISBN: 978-3-662-46845-6Published: 23 June 2015
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 322
Number of Illustrations: 10 b/w illustrations, 1 illustrations in colour
Topics: Operator Theory, Functional Analysis