Youssef Azouzi

activity

20152025

most citedThe tensor product of function algebras

2 citations · 2 across the 13 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.FA2025

Strong completeness of Lp-type vector lattices

Youssef Azouzi

Let E be a Dedekind complete Riesz space with weak unit e, equipped with a conditional expectation operator T. We prove that the spaces Lp(T), with their natural vector-valued norm…

math.FA2025

Order denseness in free Banach lattices

Youssef Azouzi, Wassim Dhifaoui

We prove a fundamental property: the free vector lattice $F V L [E]$ over a Banach space E is order dense in the free p-convex Banach lattice $F B L^{(p)} [E], 1^{l} e q p \leq \infty,$ if…

math.AC2025

A counterexample regarding the relatively uniform completion of a principal ideal

Youssef Azouzi

We present a counterexample related to relative uniform convergence, showing that, in general, the relatve uniform completion of the principal ideal of a vector lattice E generated…