Premium
An expansive multiplier property for operator‐valued Bergman inner functions
Author(s) -
Olofsson Anders
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610807
Subject(s) - biharmonic equation , mathematics , expansive , multiplier (economics) , norm (philosophy) , property (philosophy) , pure mathematics , operator (biology) , class (philosophy) , mathematical analysis , algebra over a field , philosophy , compressive strength , materials science , repressor , artificial intelligence , law , macroeconomics , boundary value problem , chemistry , computer science , composite material , biochemistry , epistemology , political science , transcription factor , economics , gene
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)