Geodesic
$C-$cosine and mixed $C_{0}-$cosine families of bounded linear operators on non-Archimedean Banach spaces
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2.

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In this paper, we introduce and check some properties of $C-$cosine and mixed $C_{0}-$cosine families of bounded linear operators on non-Archimedean Banach spaces. We show some results for $C-$cosine and mixed $C_{0}-$cosine families of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the parameter of mixed $C_{0}$-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.13203
Classification : 47D03, 47S10
Keywords: Non-Archimedean Banach spaces, cosine families of bounded linear operators, $C_{0}-$groups of bounded linear operators 
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     author = {A. Blali and A. El Amrani and J. Ettayb},
     title = {$C-$cosine and mixed $C_{0}-$cosine families of bounded linear operators on {non-Archimedean} {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {207 - 222},
     publisher = {mathdoc},
     volume = {53},
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     year = {2023},
     doi = {10.30755/NSJOM.13203},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13203/}
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A. Blali; A. El Amrani; J. Ettayb. $C-$cosine and mixed $C_{0}-$cosine families of bounded linear operators on non-Archimedean Banach spaces. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2. doi : 10.30755/NSJOM.13203. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13203/

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