Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913712687808512 |
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| author | Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier |
| author_facet | Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier |
| contents | We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoară and Foiaş. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability Gallardo-Gutiérrez, Eva A. González-Doña, F. Javier Functional Analysis 47A15, 47A55, 47B15 We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoară and Foiaş. |
| title | Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability |
| topic | Functional Analysis 47A15, 47A55, 47B15 |
| url | https://arxiv.org/abs/2502.20912 |