Invariant subspaces of perturbed backward shift
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913461315829760 |
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| author | Das, Soma Sarkar, Jaydeb |
| author_facet | Das, Soma Sarkar, Jaydeb |
| contents | We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invariant subspaces. Kernels of certain perturbed Toeplitz operators are examples of the newly introduced nearly invariant subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17352 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant subspaces of perturbed backward shift Das, Soma Sarkar, Jaydeb Functional Analysis Complex Variables Operator Algebras 30H10, 47A15, 47B35, 46E22, 45E10, 81Q15 We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invariant subspaces. Kernels of certain perturbed Toeplitz operators are examples of the newly introduced nearly invariant subspaces. |
| title | Invariant subspaces of perturbed backward shift |
| topic | Functional Analysis Complex Variables Operator Algebras 30H10, 47A15, 47B35, 46E22, 45E10, 81Q15 |
| url | https://arxiv.org/abs/2407.17352 |