5 papers · 1 filter
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,…
The strong Nakano property in Banach lattices
Youssef Azouzi, Asma Ben Rjeb, Pedro Tradacete
We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space , the free Banach lat…
Uniform Integrability in vector lattices and applications
Youssef Azouzi
In this paper, we explore an abstraction of uniform integrability in vector lattices and demonstrate its application by providing a positive solution to an open question posed by K…
A diagonal principle for nets
Youssef Azouzi
In our work, we provide a constructive proof of a generalized version of Cantor's diagonal argument for nets. This result expands the well-known technique beyond sequences, allowin…
Conditional supremum in Riesz spaces and applications
Youssef Azouzi, Mohamed Amine Ben Amor, Dorsaf Cherif +1
We extend the concept of conditional supremum to the measure-free setting of Riesz spaces via the conditional expectation operator. We explore its properties and show how this tool…