Some invariant subspaces for subnormal operators
✍ Scribed by Scott W. Brown
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1978
- Tongue
- English
- Weight
- 799 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
We consider certain complex sequence spaces X indexed by N with the canonical basis (δ n ) n 1 . Let T ∈ 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
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.