2 papers
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…