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arXiv · 2212.03960

A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces

Jawad Ettayb
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Abstract

Let $E$ be a complete Hausdorff locally convex space over $\mathbb{C}_{p},$ let $A\in\mathcal{L}(E)$ such that $(I-\lambda A)^{-1}$ 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.

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Jawad Ettayb. 2022-12-07. A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces. https://arxiv.org/abs/2212.03960

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