On the reduction of powers of self-adjoint operators
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909262083522560 |
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| author | Kebli, Salima Mortad, Mohammed Hichem |
| author_facet | Kebli, Salima Mortad, Mohammed Hichem |
| contents | Let $T\in B(H)$ be such that $T^n$ is self-adjoint for some $n\in\mathbb{N}$ with $n\geq 3$. The paper's primary aim is to establish the conditions that lead to the self-adjointness of $T$. We pay particular attention to the case where $T^3=0$ and how it implies $T$ is complex symmetric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13861 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the reduction of powers of self-adjoint operators Kebli, Salima Mortad, Mohammed Hichem Functional Analysis Let $T\in B(H)$ be such that $T^n$ is self-adjoint for some $n\in\mathbb{N}$ with $n\geq 3$. The paper's primary aim is to establish the conditions that lead to the self-adjointness of $T$. We pay particular attention to the case where $T^3=0$ and how it implies $T$ is complex symmetric. |
| title | On the reduction of powers of self-adjoint operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2407.13861 |