Multiplication Operators on the Bergman Space

2015
ISBN: 978-3-662-46844-9
Verlag: Springer

Buch, Englisch, Band 2145, 322 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 5037 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Huang, Hansong

Guo, Kunyu

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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.