Operator-valued Bergman inner functions as transfer functions
Författare
Summary, in English
An explicit construction characterizing the operator-valued Bergman inner functions is given for a class of vector-valued standard weighted Bergman spaces in the unit disk. These operator-valued Bergman inner functions act as contractive multipliers from the Hardy space into the associated Bergman space, and they have a natural interpretation as transfer functions for a related class of discrete time linear systems. This points to a new interaction between the fields of invariant subspace theory and mathematical systems theory.
Avdelning/ar
Publiceringsår
2008
Språk
Engelska
Sidor
603-623
Publikation/Tidskrift/Serie
St. Petersburg Mathematical Journal
Volym
19
Issue
4
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
American Mathematical Society (AMS)
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1061-0022