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An expansive multiplier property for operator-valued Bergman inner functions

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Author

Summary, in English

We show that operator-valued Bergman inner functions have the so-called expansive multiplier property generalizing a well-known result of Hedenmalm in the scalar case. This analysis leads to norm bounds for input output maps for a related class of discrete time linear systems. The proof uses properties of the biharmonic Green function. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Publishing year

2009

Language

English

Pages

1451-1460

Publication/Series

Mathematische Nachrichten

Volume

282

Issue

10

Document type

Journal article

Publisher

John Wiley & Sons Inc.

Topic

  • Mathematics

Keywords

  • standard unweighted Bergman space
  • input output map
  • Operator-valued Bergman inner function
  • discrete time linear system
  • biharmonic Green
  • function

Status

Published

ISBN/ISSN/Other

  • ISSN: 0025-584X