Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Multiplication operators on the Bergman space / Kunyu Guo and Hansong Huang.

By: Contributor(s): Series: Lecture notes in mathematics ; 2145.Publication details: Berlin : Springer-Verlag, 2015.Description: viii, 322 p. : illustrations ; 24 cmISBN:
  • 9783662468449
Subject(s): DDC classification:
  • 515.724 23 G977
Contents:
1. Introduction -- 2. Some preliminaries -- 3. Cowen-Thomson's theorem -- 4. Reducing subspaces associated eith finite Blaschke products -- 5. Reducing subspaces associated with thin Blaschke products -- 6. Covering maps and von Neumann algebras -- 7. Similarity and unitary equivalence -- 8. Algebraic structure and reducing subspaces -- A. Berezin transform -- B. Nordgren's results on reducing subspaces -- C. List of problems -- Bibliography -- Index.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.724 G977 (Browse shelf(Opens below)) Available 136752
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Some preliminaries --
3. Cowen-Thomson's theorem --
4. Reducing subspaces associated eith finite Blaschke products --
5. Reducing subspaces associated with thin Blaschke products --
6. Covering maps and von Neumann algebras --
7. Similarity and unitary equivalence --
8. Algebraic structure and reducing subspaces --
A. Berezin transform --
B. Nordgren's results on reducing subspaces --
C. List of problems --
Bibliography --
Index.

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in