Geodesic
Cosine families of bounded linear operators on non-archimedean Banach spaces
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 1.

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In this paper, we initiate the investigation of cosine families of bounded linear operators on non-Archimedean Banach spaces. We show some properties of non-Archimedean $C_{0}-$cosine operator functions. Examples are given to support our work and we will discuss the solvability of some homogeneous $p$-adic second-order differential equations where the parameter of $C_{0}$-cosine family of bounded linear operators belongs to a clopen ball $\Omega_{r}$ of the ground field $\mathbb{K}$.
Publié le :
DOI : 10.30755/NSJOM.12287
Classification : 47D03, 47D09, 47S10
Keywords: non-Archimedean Banach spaces, p-adic cosine families of bounded linear operators 
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     title = {Cosine families of bounded linear operators on non-archimedean {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {173 - 184},
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A. Blali; A. El amrani; J. Ettayb; R. A. Hassani. Cosine families of bounded linear operators on non-archimedean Banach spaces. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 1. doi : 10.30755/NSJOM.12287. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12287/

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