Study of nearly invariant subspaces with finite defect in Hilbert spaces
DOI10.1007/s12044-022-00654-xOpenAlexW3031139860MaRDI QIDQ2120904
Publication date: 1 April 2022
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.12786
multiplication operatorDirichlet spaceBlaschke productsvector-valued Hardy spaceBeurling's theoremnearly invariant subspaces with finite defect
Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10)
Cites Work
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- Almost invariant subspaces of the shift operator on vector-valued Hardy spaces
- Weighted composition operators on the Dirichlet space: boundedness and spectral properties
- The kernel of a Toeplitz operator
- Invariant subspaces of \({\mathcal H}^ 2\) of an annulus
- Nearly invariant subspaces related to multiplication operators in Hilbert spaces of analytic functions
- On the wandering property in Dirichlet spaces
- Nearly invariant subspaces with applications to truncated Toeplitz operators
- Nearly invariant subspaces for operators in Hilbert spaces
- Every operator has almost-invariant subspaces
- An Introduction to Operators on the Hardy-Hilbert Space
- Cyclic Vectors in the Dirichlet Space
- Multiplication Invariant Subspaces of Hardy Spaces
- Finite Blaschke Products and Their Connections
- A Beurling Theorem for almost-invariant subspaces of the shift operator
- A Primer on the Dirichlet Space
- Multipliers on D α
- The Theory ofH(b) Spaces