4 papers
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…
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…
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…
A Kakutani-Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices
Youssef Azouzi, Marwa Masmoudi, Bruce Alastair Watson
Recently the Kac formula for the conditional expectation of the first recurrence time of a conditionally ergodic conditional expectation preserving system was established in the me…