An expansive multiplier property for operator-valued Bergman inner functions
Författare
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
Avdelning/ar
Publiceringsår
2009
Språk
Engelska
Sidor
1451-1460
Publikation/Tidskrift/Serie
Mathematische Nachrichten
Volym
282
Issue
10
Dokumenttyp
Artikel i tidskrift
Förlag
John Wiley & Sons Inc.
Ämne
- Mathematics
Nyckelord
- standard unweighted Bergman space
- input output map
- Operator-valued Bergman inner function
- discrete time linear system
- biharmonic Green
- function
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0025-584X