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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.17686 |
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| _version_ | 1866914240827228160 |
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| author | Perelmuter, M. A. |
| author_facet | Perelmuter, M. A. |
| contents | Let $A$ be a dissipative operator on a Banach space with a dense domain. It is proved that $A$ has a quasi-dissipative extension (possibly in an enlarged Banach space) which generates a quasi-contractive $C_0$-semigroup. \par This gives a positive answer to the question posed by P.R.Chernoff and H.F.Trotter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a question of P.R. Chernoff and H.F. Trotter Perelmuter, M. A. Functional Analysis 47B44 47D03 Let $A$ be a dissipative operator on a Banach space with a dense domain. It is proved that $A$ has a quasi-dissipative extension (possibly in an enlarged Banach space) which generates a quasi-contractive $C_0$-semigroup. \par This gives a positive answer to the question posed by P.R.Chernoff and H.F.Trotter. |
| title | On a question of P.R. Chernoff and H.F. Trotter |
| topic | Functional Analysis 47B44 47D03 |
| url | https://arxiv.org/abs/2511.17686 |