Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces
Authors: J. Ettayb
Keywords: Volkenborn integral, Shnirelman integral, groups of bounded linear operators, $p$-adic theory
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Keywords: Volkenborn integral, Shnirelman integral, groups of bounded linear operators, $p$-adic theory
Abstract
In this paper, we extend the Volkenborn integral and Shnirelman integral for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces over $\mathbb{Q}_{p}$ and $\mathbb{C}_{p}$ respectively. When the ground field is a complete non-Archimedean valued field, which is also algebraically closed, we give some functional calculus for groups of infinitesimal generator $A$ such that $A$ is a nilpotent operator on finite-dimensional non-Archimedean Banach spaces.Department of Mathematics,
Faculty of Sciences Dhar Mahraz,
Sidi Mohamed Ben Abdellah University,
Fµes, Morocco.
E-mail:
Faculty of Sciences Dhar Mahraz,
Sidi Mohamed Ben Abdellah University,
Fµes, Morocco.
E-mail:
DOI
https://doi.org/10.56415/basm.y2022.i3.p3Fulltext
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Contents
- Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces
- A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations
- Optimal control of jump-diffusion processes with random parameters
- A self-similar solution for the two-dimensional Broadwell system via the Bateman equation
- Construction of medial ternary self-orthogonal quasigroups
- Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems
