Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
Abstract We prove that the class of Banach function lattices in which all relatively weakly compact sets are equi‐integrable sets (i.e. spaces satisfying the Dunford–Pettis criterion) coincides with the class of 1‐disjointly homogeneous Banach lattices. New examples of such spaces are provided. Furthermore, it is shown that Dunford–Pettis criterion is …