Antonio Avilés, Antonio J. Guirao, Sebastián Lajara, José Rodríguez, Pedro Tradacete
Published 2015-12-29Version 1
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 $X$, the existence of a weakly compact set $K \subset X$ such that $X$ coincides with the band generated by $K$, implies that $X$ is WCG.
A class of weakly compact sets in Lebesgue-Bochner spaces
A representation theorem for order continuous Banach lattices
Shellable weakly compact subsets of $C[0,1]$
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