Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 130
P-adic Discrete Semigroup Of Contractions
Jawad Ettayb, Abdelkhalek El Amrani, Aziz Blali
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 18, 2022
March 03, 2120
April 15, 2120

Abstract: Let $A\in B(X)$ be a spectral operator on a non-archimedean Banach space over $\mathbb{C}_{p}.$ In this paper, we give a necessary and sufficient condition on the resolvent of $A$ so that the discrete semigroup consisting of powers of $A$ is contractions.