Invariant subspaces of J-dissipative operators
โ Scribed by A. M. Gomilko
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 157 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
We consider certain complex sequence spaces X indexed by N with the canonical basis (ฮด n ) n 1 . Let T โ L(X) be a tridiagonal operator on X. Assume that the associated matrix (t i,j ) i,j 1 has real entries and satisfies the weak symmetry condition that for every integer n 1, t n,n+1 t n+1,n 0. The