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 A note on discrete semigroups of bounded linear operators on non archimedean Banach spaces Commun. Korean Math. Soc.Published online November 17, 2021 Aziz Blali, Abdelkhalek El amrani, and Jawad Ettayb Fsdm, Usmba, Fez; Fsdm, Usmba, Fez; Fsdm, Usmba, Fez Abstract : In this note, let $A\in B(X)$ be a spectral operator, we give a necessary and sufficient condition on the resolvent of an operator $A$ are obtained for the discrete semigroup consisting of powers of $A$ to be a uniformly-bounded on non archimedean Banach space over algebrically closed field such that $\mathbb{C}_{p}.$ Keywords : Non-archimedean Banach spaces, spectral operator, discrete semigroups MSC numbers : 47S10, 47A10, 47D03. Full-Text :

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