A note on discrete semigroups of bounded linear operators on non-archimedean Banach spaces
Commun. Korean Math. Soc. 2022 Vol. 37, No. 2, 409-414
Published online March 29, 2022
Printed April 30, 2022
Aziz Blali, Abdelkhalek El Amrani, Jawad Ettayb
Sidi Mohamed Ben Abdellah University; Sidi Mohamed Ben Abdellah University; Sidi Mohamed Ben Abdellah University
Abstract : Let $A\in B(X)$ be a spectral operator on a non-archimedean Banach space over an algebraically closed field. In this note, we give a necessary and sufficient condition on the resolvent of $A$ so that the discrete semigroup consisting of powers of $A$ is uniformly-bounded.
Keywords : Non-archimedean Banach spaces, spectral operator, discrete semigroups
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