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.

Operator-valued Bergman inner functions as transfer functions

På svenska

Author

Summary, in English

An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discrete time linear systems. This points to a new interaction between the fields of invariant subspace theory and mathematical systems theory.

Publishing year

2008

Language

English

Pages

603-623

Publication/Series

St. Petersburg Mathematical Journal

Volume

19

Issue

4

Document type

Journal article

Publisher

American Mathematical Society (AMS)

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1061-0022