Browse > Article
http://dx.doi.org/10.4134/CKMS.c210039

A NOTE ON DISCRETE SEMIGROUPS OF BOUNDED LINEAR OPERATORS ON NON-ARCHIMEDEAN BANACH SPACES  

Blali, Aziz (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University)
Amrani, Abdelkhalek El (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz)
Ettayb, Jawad (Department of Mathematics and Computer Science Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 409-414 More about this Journal
Abstract
Let A ∈ 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;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 T. Diagana, Non-Archimedean Linear Operators and Applications, Nova Science Publishers, Inc., Huntington, NY, 2007.
2 A. El Amrani, A. Blali, J. Ettayb, and M. Babahmed, A note on C0-groups and C-groups on non-archimedean Banach spaces, Asian-European Journal of Mathematics, 2020.
3 A. G. Gibson, A discrete Hille-Yosida-Phillips theorem, J. Math. Anal. Appl. 39 (1972), 761-770. https://doi.org/10.1016/0022-247X(72)90196-5   DOI
4 N. Koblitz, p-adic analysis: a short course on recent work, London Mathematical Society Lecture Note Series, 46, Cambridge University Press, Cambridge, 1980.
5 A. C. M. van Rooij, Non-Archimedean functional analysis, Monographs and Textbooks in Pure and Applied Mathematics, 51, Marcel Dekker, Inc., New York, 1978.
6 W. H. Schikhof, On p-adic compact operators, Tech. Report 8911, Departement of Mathematics, Catholic University, Nijmengen, The Netherlands (1989), 1-28.
7 W. H. Schikhof, Ultrametric Calculus, Cambridge Studies in Advanced Mathematics, 4, Cambridge University Press, Cambridge, 1984.
8 A. El Amrani, J. Ettayb, and A. Blali, p-adic discrete semigroup of contractions, Proyecciones, accepted.
9 A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, 44, Springer-Verlag, New York, 1983. https://doi.org/10.1007/978-1-4612-5561-1   DOI