Invariant subspaces of focusing plus-operators
โ Scribed by V. A. Khatskevich
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 243 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0001-4346
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