Geodesic
On mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2.

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In this paper, we introduce and check some properties of mixed $C_{0}-$\\group of bounded linear operators on non-Archimedean Banach spaces. Our main result extends theorems for mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the parameter of mixed $C_{0}-$groups belongs to a clopen ball $\Omega_{r}$ of the ground field $\mathbb{K}.$ As an illustration, we will discuss the solvability of some inhomogeneous $p$-adic differential equations for mixed $C_{0}-$groups when $\alpha=-1.$ Examples are given to support our work.
Publié le :
DOI : 10.30755/NSJOM.12375
Classification : 47D03, 47S10
Keywords: Non-archimedean Banach spaces, mixed $C_{0}-$ groups of linear operators, $C_{0}-$groups of linear operators 
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     title = {On mixed $C_{0}-$groups of bounded linear operators on {non-Archimedean} {Banach} spaces},
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Aziz Blali; Abdelkhalek El amrani; Jawad Ettayb. On mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2. doi : 10.30755/NSJOM.12375. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12375/

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