Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 603-623 |
| Journal | St. Petersburg Mathematical Journal |
| Volume | 19 |
| Issue number | 4 |
| Publication status | Published - 2008 |
Bibliographical note
Algebra i Analiz 19 (2007) 146-173St Petersburg Mathematical Journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
Subject classification (UKÄ)
- Mathematics