Criteria for algebraic operators to be unitary
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_ | 1866929312277463040 |
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| author | Jablonski, Zenon Jan Jung, Il Bong Stochel, Jan |
| author_facet | Jablonski, Zenon Jan Jung, Il Bong Stochel, Jan |
| contents | Criteria for an algebraic operator $T$ on a complex Hilbert space $\mathcal{H}$ to be unitary are established. The main one is written in terms of the convergence of sequences of the form $\{\|T^nh\|\}_{n=0}^{\infty}$ with $h\in \mathcal{H}$. Related questions are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08386 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Criteria for algebraic operators to be unitary Jablonski, Zenon Jan Jung, Il Bong Stochel, Jan Functional Analysis Criteria for an algebraic operator $T$ on a complex Hilbert space $\mathcal{H}$ to be unitary are established. The main one is written in terms of the convergence of sequences of the form $\{\|T^nh\|\}_{n=0}^{\infty}$ with $h\in \mathcal{H}$. Related questions are also discussed. |
| title | Criteria for algebraic operators to be unitary |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2404.08386 |