Nearly invariant brangesian subspaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915158669918208 |
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| author | Khan, Arshad Lata, Sneh Singh, Dinesh |
| author_facet | Khan, Arshad Lata, Sneh Singh, Dinesh |
| contents | This article describes Hilbert spaces contractively contained in certain reproducing kernel Hilbert spaces of analytic functions on the open unit disc which are nearly invariant under division by an inner function. We extend Hitt's theorem on nearly invariant subspaces of the backward shift operator on $H^2(\bb D)$ as well as its many generalizations to the setting of de Branges spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04510 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nearly invariant brangesian subspaces Khan, Arshad Lata, Sneh Singh, Dinesh Functional Analysis Primary 47A15, Secondary 30H10, 47B32 This article describes Hilbert spaces contractively contained in certain reproducing kernel Hilbert spaces of analytic functions on the open unit disc which are nearly invariant under division by an inner function. We extend Hitt's theorem on nearly invariant subspaces of the backward shift operator on $H^2(\bb D)$ as well as its many generalizations to the setting of de Branges spaces. |
| title | Nearly invariant brangesian subspaces |
| topic | Functional Analysis Primary 47A15, Secondary 30H10, 47B32 |
| url | https://arxiv.org/abs/2311.04510 |