Order denseness in free Banach lattices

Youssef Azouzi, Wassim Dhifaoui

We prove a fundamental property: the free vector lattice $FVL[E]$ over a Banach space E is order dense in the free p-convex Banach lattice $FB{L}^{(p)}[E],1^{l}eqp\le \infty ,$ if…