3 papers
math.FA2024
The sup-completion of a Dedekind complete vector lattice II
Youssef Azouzi, Youssef Nasri
We persist in our investigation of the sup-completion of a Dedekind complete Riesz space, extending to the broader context of Riesz spaces. some results initially obtained by Feng,…
math.FA2022
Generating functions in Riesz spaces
Youssef Azouzi, Youssef Nasri
We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectatnion operator. This allows to…
math.FA2021
The sup-completion of a Dedekind complete vector lattice
Youssef Azouzi, Youssef Nasri
Every Dedekind complete Riesz space X has a unique sup-completion X^{s}, which is a Dedekind complete lattice cone. This paper aims to present a systematic study this cone by exten…