3 papers
math.FA2025
About the relatively uniform completion of a principal ideal
Elmiloud Chil
In [2] the author claims to provide a counterexample to a result in a recent paper [1]. In this note, we prove that the details of his example is false and this example is compatib…
math.FA2025
A Nakano carrier type-theorem for orthogonally additive polynomials in Riesz spaces
Elmiloud Chil, Khansa Weslati
The purpose of the present paper is to prove the Nakano theorem for orthogonally additive polynomials in Riesz spaces
math.FA2020
On lattice homomorphisms in Riesz spaces
Elmiloud Chil, Fateh Mekdour
In this paper, we study the connextion between lattice and Riesz homomorphisms in Riesz spaces. We prove, under a certain condition, that any lattice homomorphism on Riesz space is…