The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

On some Bergman shift operators

På svenska

Author

Summary, in Swedish

Abstract in Undetermined

An operator identity satisfied by the shift operator in a class of standard weighted Bergman spaces is studied. We show that subject to a pureness condition this operator identity characterizes the associated Bergman shift operator up to unitary equivalence allowing for a general multiplicity. The analysis of the general case makes contact with the class of n-isometries studied by Agler and Stankus.

Publishing year

2012

Language

English

Pages

829-842

Publication/Series

Complex Analysis and Operator Theory

Volume

6

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1661-8254