L1factorizations and invariant subspaces for weighted composition operators
β Scribed by Jonathan R. Partington; Rachael C. Smith
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 104 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0003-889X
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π 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 (Ξ΄ n ) n 1 . Let T β 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