Weakly compactly generated Banach lattices

2015/12/29 by Antonio Avilés, Antonio J. Guirao, Avilés, Antonio +7
Mathematics · #46B42 #46B50 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B42 #msc:46B50

paper · pdf · doi:10.48550/arxiv.1512.08628

arxiv created 2015/12/29 · arxiv updated 2015/12/31

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 X, the existence of a weakly compact set K ⊂ X such that X coincides with the band generated by K, implies that X is WCG.

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