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

2022/12/07 by Jawad Ettayb, Ettayb, Jawad
Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2212.03960

openalex publication_date 2022/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let E be a complete Hausdorff locally convex space over ℂ_p, let A\inL(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 (Aⁿ)_n∈ℕ is equi-continuous.

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