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Multiplication Operators on the Bergman Space

  • Kunyu Guo
  • Hansong Huang

Part of the Lecture Notes in Mathematics book series (LNM, volume 2145)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Kunyu Guo, Hansong Huang
    Pages 1-6
  3. Kunyu Guo, Hansong Huang
    Pages 7-51
  4. Kunyu Guo, Hansong Huang
    Pages 53-86
  5. Kunyu Guo, Hansong Huang
    Pages 87-123
  6. Kunyu Guo, Hansong Huang
    Pages 125-192
  7. Kunyu Guo, Hansong Huang
    Pages 193-251
  8. Kunyu Guo, Hansong Huang
    Pages 253-268
  9. Kunyu Guo, Hansong Huang
    Pages 269-299
  10. Back Matter
    Pages 301-324

About this book

Introduction

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.

Keywords

46E22,47C15 Bergman space Hilbert space commutant multiplication operators reducing subspaces von Neumann algebra

Authors and affiliations

  • Kunyu Guo
    • 1
  • Hansong Huang
    • 2
  1. 1.School of Mathematical SciencesFudan UniversityShanghaiChina
  2. 2.Department of MathematicsEast China University of Science and TechnologyShanghaiChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-46845-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-46844-9
  • Online ISBN 978-3-662-46845-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site