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.
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