A remark on the growth rate of operator semigroups under resolvent bounds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915292428369920 |
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| author | Dell'Oro, Filippo |
| author_facet | Dell'Oro, Filippo |
| contents | We provide a growth bound for the operator norm of $C_0$-semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super-linear resolvent growths, our estimate is sharper than the ones currently available in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on the growth rate of operator semigroups under resolvent bounds Dell'Oro, Filippo Functional Analysis We provide a growth bound for the operator norm of $C_0$-semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super-linear resolvent growths, our estimate is sharper than the ones currently available in the literature. |
| title | A remark on the growth rate of operator semigroups under resolvent bounds |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.12807 |