On adjoint invariant classes of shift operators
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914736230105088 |
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| author | Shirazi, F. Ayatollah Zadeh Hakimi, E. Hosseini, A. Rezavand, R. |
| author_facet | Shirazi, F. Ayatollah Zadeh Hakimi, E. Hosseini, A. Rezavand, R. |
| contents | In the following text we compute the adjoint of weighted generalized shift operators over Hilbert spaces. We show for a conjugate invariant subset $A$ of $\mathbb C$, the additive semigroup generated by $A\cup\{0\}-$weighted generalized shifts over Hilbert space $\mathcal H$ is adjoint invariant if and only if $\mathcal H$ is a finite dimensional Hilbert space or $0$ is not a limit point of $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00310 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On adjoint invariant classes of shift operators Shirazi, F. Ayatollah Zadeh Hakimi, E. Hosseini, A. Rezavand, R. Functional Analysis 47B37, 47B02 In the following text we compute the adjoint of weighted generalized shift operators over Hilbert spaces. We show for a conjugate invariant subset $A$ of $\mathbb C$, the additive semigroup generated by $A\cup\{0\}-$weighted generalized shifts over Hilbert space $\mathcal H$ is adjoint invariant if and only if $\mathcal H$ is a finite dimensional Hilbert space or $0$ is not a limit point of $A$. |
| title | On adjoint invariant classes of shift operators |
| topic | Functional Analysis 47B37, 47B02 |
| url | https://arxiv.org/abs/2404.00310 |