On the Banach lattice c_0
Functional Analysis
2020-03-02 v1
Abstract
We show that is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. On the other hand, we show that is complemented in the free Banach lattice generated by itself (seen as a Banach space). As a consequence, the free Banach lattice generated by is not projective.
Cite
@article{arxiv.1908.07786,
title = {On the Banach lattice c_0},
author = {Antonio Avilés and Gonzalo Martínez-Cervantes and José David Rodríguez Abellán},
journal= {arXiv preprint arXiv:1908.07786},
year = {2020}
}