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

Autor:	Ettayb, Jawad
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.03960 Zobrazit plný text záznamu View this record from Arxiv