5 papers
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…
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…
Burkholder Theorem in Riesz spaces
Youssef Azouzi, Kawtar Ramdane
The main purpose of this paper is to give a vector lattice version of a Theorem by Burkholder about convergence of martingales. The proof is based on a vector lattice analogue of A…
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…
Completeness for vector lattices
Youssef Azouzi
The notion of unboundedly order converges has been recieved recently a particular attention by several authors. The main result of the present paper shows that the notion is effici…