Perturbations of Toeplitz operators on vector-valued Hardy spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914345495035904 |
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| author | Khan, Arshad Lata, Sneh Singh, Dinesh |
| author_facet | Khan, Arshad Lata, Sneh Singh, Dinesh |
| contents | In this article, we completely classify invariant subspaces of finite-rank perturbations of a class of Toeplitz operators on vector-valued Hardy spaces. As a consequence, in the vector-valued setting, we characterize invariant and almost invariant subspaces of a class of Toeplitz operators, as well as nearly invariant subspaces associated with certain Blaschke-based operators. We further treat the finite defect case for these nearly invariant subspaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_05721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbations of Toeplitz operators on vector-valued Hardy spaces Khan, Arshad Lata, Sneh Singh, Dinesh Functional Analysis Primary 47A15, 47A55, Secondary 30H10, 47B35, 47B38 In this article, we completely classify invariant subspaces of finite-rank perturbations of a class of Toeplitz operators on vector-valued Hardy spaces. As a consequence, in the vector-valued setting, we characterize invariant and almost invariant subspaces of a class of Toeplitz operators, as well as nearly invariant subspaces associated with certain Blaschke-based operators. We further treat the finite defect case for these nearly invariant subspaces. |
| title | Perturbations of Toeplitz operators on vector-valued Hardy spaces |
| topic | Functional Analysis Primary 47A15, 47A55, Secondary 30H10, 47B35, 47B38 |
| url | https://arxiv.org/abs/2507.05721 |