Geodesic
Mixed $C-$cosine families of bounded linear operators on non-Archimedean Banach spaces
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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In this paper, we introduce and check some properties of $H-C-$cosine and mixed $C-$cosine families of bounded linear operators on non-Archimedean Banach spaces. We show some results for $H-C-$cosine and mixed $C-$cosine families of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the parameter of a given mixed $C-$cosine family of bounded linear operators belongs to a clopen ball $\Omega_{r}$ of the ground field $\mathbb{K}.$ Examples are given to support our work.
Publié le :
DOI : 10.30755/NSJOM.13612
Classification : 47D03, 47S10
Keywords: Non-Archimedean Banach spaces, cosine families of bounded linear operators, mixed $C-$cosine of bounded linear operators 
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     title = {Mixed $C-$cosine families of bounded linear operators on {non-Archimedean} {Banach} spaces},
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A. Blali; A. El Amrani; J. Ettayb. Mixed $C-$cosine families of bounded linear operators on non-Archimedean Banach spaces. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.13612. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13612/

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