4 papers
Concentration Inequalities in Riesz Spaces
Mohamed Amine Ben Amor, Amal Omrani
In this work, we will generalize the moment generating function to Riesz spaces. We will derive some of its properties and use it to prove concentration inequalities on Riesz space…
Orthosymmetric spaces over an Archimedean vector lattice
Mohamed Amine Ben Amor, Karim Boulabiar, Jamel Jaber
We introduce and study the notion of orthosymmetric spaces over an Archimedean vector lattice as a generalization of finite-dimentional Euclidean inner spaces. A special attention…
Compact operators between lattice normed spaces
Youssef Azouzi, Mohamed Amine Ben Amor
In this paper we continue the study of compact-like operators in lattice normed spaces started recently by Aydin, Emelyanov, Erkurşun Özcand and Marabeh. We show among others, that…
On the Tensor product of archimedean -algebras
Mohamed Amine Ben Amor
The aim of this work is to prove that the Riesz tensor product of two archimedean -algebras is itself a -algebra.