1.

Record Nr.

UNISA996216375003316

Autore

Guo Kunyu

Titolo

Multiplication Operators on the Bergman Space [[electronic resource] /] / by Kunyu Guo, Hansong Huang

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015

ISBN

3-662-46845-X

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (VIII, 322 p. 11 illus., 1 illus. in color.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2145

Disciplina

515.724

Soggetti

Operator theory

Functional analysis

Operator Theory

Functional Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes Index.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.