An expansive multiplier property for operator‐valued Bergman inner functions | Zendy

Olofsson Anders | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

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)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research