✦ LIBER ✦
An expansive multiplier property for operator-valued Bergman inner functions
✍ Scribed by Anders Olofsson
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 123 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
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 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)