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An expansive multiplier property for operator-valued Bergman inner functions

Olofsson, Anders LU (2009) In Mathematische Nachrichten 282(10). p.1451-1460
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. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
standard unweighted Bergman space, input output map, Operator-valued Bergman inner function, discrete time linear system, biharmonic Green, function
in
Mathematische Nachrichten
volume
282
issue
10
pages
1451 - 1460
publisher
Wiley-VCH Verlag
external identifiers
  • wos:000271387100007
  • scopus:76849105005
ISSN
0025-584X
DOI
10.1002/mana.200610807
language
English
LU publication?
yes
id
d21c9a60-f52e-4284-96bd-5940c71fbdf3 (old id 1504990)
date added to LUP
2016-04-01 12:01:34
date last changed
2025-10-14 13:08:42
@article{d21c9a60-f52e-4284-96bd-5940c71fbdf3,
  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. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}},
  author       = {{Olofsson, Anders}},
  issn         = {{0025-584X}},
  keywords     = {{standard unweighted Bergman space; input output map; Operator-valued Bergman inner function; discrete time linear system; biharmonic Green; function}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{1451--1460}},
  publisher    = {{Wiley-VCH Verlag}},
  series       = {{Mathematische Nachrichten}},
  title        = {{An expansive multiplier property for operator-valued Bergman inner functions}},
  url          = {{http://dx.doi.org/10.1002/mana.200610807}},
  doi          = {{10.1002/mana.200610807}},
  volume       = {{282}},
  year         = {{2009}},
}