2 citations · 2 across the 13 of their papers we have counts for
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Some characterizations of ergodicity in Riesz spaces
Youssef Azouzi, Marwa Masmoudi
In the recent surge of papers on ergodic theory within Riesz spaces, this article contributes by introducing enhanced characterizations of ergodicity. Our work extends and strength…
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…