Multivariable backward-shift-invariant subspaces and observability operators
โ Scribed by Joseph A. Ball; Vladimir Bolotnikov; Quanlei Fang
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 897 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0923-6082
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Results on first order Ext groups for Hilbert modules over the disk algebra are used to study certain backward shift invariant operator ranges, namely de Branges Rovnyak spaces and a more general class called H(W ; B) spaces. Necessary and sufficient conditions are given for the groups Ext 1 A(D) (H
In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant subspaces of the Segal-Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.