论文标题
Hille-Yoshida-Phillips定理用于完整超级凸的空间上的离散半群
A Hille-Yoshida-Phillips theorem for discrete semigroups on complete ultrametric locally convex spaces
论文作者
论文摘要
令$ e $为$ \ mathbb {c} _ {p}的完整hausdorff本地凸出空间，$让$ a \ in \ mathcal {l}（e）$，因此在其域上分析$（i-λa）^{ - 1} $。在本文中，我们在$ a $的分解上给出了必要且充分的条件，使得$（a^{n}）_ {n \ in \ mathbb {n}} $是equi-continuel。
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.
