The free Banach lattice generated by a lattice

Abstract

We introduce the free Banach lattice generated by a lattice L. We give an explicit description of it and we study some of its properties for the case when $\mathbb{L}$ is a linear order, like the countable chain condition.

This last version differs from the published version in that it contains a new proof of Lemma 5.3. The previous proof worked for the particular case in which the lemma was applied, but it was wrong for the lemma as stated in general

References in corpus (1)

• Chain conditions in free Banach lattices

Cited by in corpus (1)

• Local complementation in Banach spaces and its preservation under free constructions