A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915114488168448 |
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| author | Ettayb, Jawad |
| author_facet | Ettayb, Jawad |
| contents | Let $E$ be a complete Hausdorff locally convex space over $\mathbb{C}_{p},$ let $A\in\mathcal{L}(E)$ such that $(I-λA)^{-1}$ is analytic on its domain. In this paper, we give a necessary and sufficient condition on the resolvent of $A$ such that $(A^{n})_{n\in\mathbb{N}}$ is equi-continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_03960 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces Ettayb, Jawad Functional Analysis Let $E$ be a complete Hausdorff locally convex space over $\mathbb{C}_{p},$ let $A\in\mathcal{L}(E)$ such that $(I-λA)^{-1}$ is analytic on its domain. In this paper, we give a necessary and sufficient condition on the resolvent of $A$ such that $(A^{n})_{n\in\mathbb{N}}$ is equi-continuous. |
| title | A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2212.03960 |