Geodesic
On two-parameter $C-$groups of bounded linear operators on non-Archimedean Banach spaces
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1.

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In this paper, we initiate the investigation of two parameter $C_{0}$ and $C-$groups of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the two-parameter of a given $C_{0}$ or $C-$group belongs to a clopen ball $\Omega_{r}^{2}$ of the ground non-Archimedean field $\mathbb{K}^{2}.$ We check some properties of two parameter $C-$groups of linear operators on non-Archimedean Banach spaces and we give some examples to support our work.
Publié le :
DOI : 10.30755/NSJOM.12660
Classification : 47D03, 47D60, 47S10
Keywords: non-Archimedean Banach spaces, $C_{0}-$group of linear operators, two parameter $C-$group of operators 
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     title = {On two-parameter $C-$groups of bounded linear operators on {non-Archimedean} {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
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Aziz Blali; Abdelkhalek El Amrani; Jawad Ettayb. On two-parameter $C-$groups of bounded linear operators on non-Archimedean Banach spaces. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1. doi : 10.30755/NSJOM.12660. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12660/

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