Invariant subspaces of Volterra operators
β Scribed by V. S. Shul'man
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 140 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
It is proved that any multiplicative semigroup consisting of compact quasinilpotent operators on a Banach space is triangularizable. The consequences are discussed.
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