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Published
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$C$-groups and mixed $C$-groups of bounded linear operators on non-archimedean Banach spaces
Volume 63, no. 1
(2022),
pp. 185–201
https://doi.org/10.33044/revuma.2074
Abstract
We introduce and study $C$-groups and mixed $C$-groups of
bounded linear operators on non-archimedean Banach spaces. Our main result
extends some existing theorems on this topic. In contrast with the classical
setting, the parameter of a given $C$-group (or mixed
$C$-group) belongs to a clopen ball $\Omega_{r}$ of the ground
field $\mathbb{K}$. As an illustration, we discuss the solvability of
some homogeneous $p$-adic differential equations for $C$-groups and
inhomogeneous $p$-adic differential equations for mixed $C$-groups when
$\alpha=-1$. Examples are given to support our work.
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Published by the Unión Matemática Argentina |
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