Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Some integrals for cosine families of bounded linear operators on some non-Archimedean Banach spaces
Authors: J. Ettayb
Keywords: Volkenborn integral, Shnirelman integral, cosine families of bounded linear operators, p-adic theory
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Keywords: Volkenborn integral, Shnirelman integral, cosine families of bounded linear operators, p-adic theory
Abstract
In this paper, we define and study the Volkenborn integral and the Shnirelman integral for cosine families of bounded linear operators on some non-Archimedean Banach spaces over $\mathbb{Q}_{p}$ and $\mathbb{C}_{p}$ respectively. We give some functional calculus for cosine families of infinitesimal generator $A$ such that $A$ is a nilpotent operator on some non-Archimedean Banach spaces over $\mathbb{C}_{p}.$ Many results are proved and examples are given to support our work.C. High school of Haumman El fetouaki,
Had Soualem, 26402, Morocco.
E-mail:
Had Soualem, 26402, Morocco.
E-mail:
DOI
https://doi.org/10.56415/basm.y2025.i1.p33Fulltext
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Contents
- Generalized Berezin transform and Schatten class operators on weighted Bergman spaces
- Reverse Hardy inequalities via μ-proportional generalized fractional integral operators
- Some integrals for cosine families of bounded linear operators on some non-Archimedean Banach spaces
- About the Laplace transform on ${{L}^{1}}\left( \mathbb{R^+} \right)$
- Vertical Generalized Berger-type Metrics: A New Perspective on Harmonic Vector Fields
- On conharmonic curvature tensor of 6-dimensional planar Hermitian submanifolds of Cayley algebra
- Completeness of the factor group of a complete topological group and completeness of the factor ring of a complete topological ring by a compact normal subgroup and a compact ideal, respectively.
- Pure and Mixed Stationary Equilibria for Dynamic Positional Games on Graphs
- On 4-T-quasigroups with exactly 20 distinct parastrophes
