Weakly compactly generated Banach lattices
Functional Analysis
2015-12-31 v1
Abstract
We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice , the existence of a weakly compact set such that coincides with the band generated by , implies that is WCG.
Keywords
Cite
@article{arxiv.1512.08628,
title = {Weakly compactly generated Banach lattices},
author = {Antonio Avilés and Antonio J. Guirao and Sebastián Lajara and José Rodríguez and Pedro Tradacete},
journal= {arXiv preprint arXiv:1512.08628},
year = {2015}
}