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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 over a Banach space E is order dense in the free p-convex Banach lattice if…