The free Banach lattice generated by a lattice
Functional Analysis
2020-04-01 v3
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 is a linear order, like the countable chain condition.
Cite
@article{arxiv.1806.08381,
title = {The free Banach lattice generated by a lattice},
author = {Antonio Avilés and José David Rodríguez Abellán},
journal= {arXiv preprint arXiv:1806.08381},
year = {2020}
}
Comments
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