C -groups and mixed C -groups of bounded linear operators on non-archimedean Banach spaces

Abdelkhalek El Amrani ^[1] ; Aziz Blali ^[1] ; Jawad Ettayb ^[1]
1. [1] Sidi Mohamed Ben Abdellah University
  
  Sidi Mohamed Ben Abdellah University
  
  Fes-Medina, Marruecos
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 63, Nº. 1, 2022, págs. 185-201
Idioma: inglés
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Resumen
- 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 Ωr of the ground field 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 α = −1. Examples are given to support our work.