Resolvent estimates for a function of a linear operator
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915447244324864 |
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| author | Bello, Glenier Yakubovich, Dmitry |
| author_facet | Bello, Glenier Yakubovich, Dmitry |
| contents | Let $T$ be a bounded linear operator on a Banach space and $f$ an analytic function, defined on the spectrum of $T$. We discuss the relations between the rate of growth of the resolvent of $T$ and of $f(T)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03585 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resolvent estimates for a function of a linear operator Bello, Glenier Yakubovich, Dmitry Functional Analysis Complex Variables Let $T$ be a bounded linear operator on a Banach space and $f$ an analytic function, defined on the spectrum of $T$. We discuss the relations between the rate of growth of the resolvent of $T$ and of $f(T)$. |
| title | Resolvent estimates for a function of a linear operator |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2508.03585 |