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math.FA2023
Disjointly Weak Compactness in Banach Lattices
Bo Xiang, Jin Xi Chen, Lei Li
We give some characterizations of disjointly weakly compact sets in Banach lattices, namely, those sets in whose solid hulls every disjoint sequence converges weakly to zero. As an…
math.FA2022
Weak precompactness in Banach lattices
Bo Xiang, Jinxi Chen, Lei Li
We show that the solid hull of every weakly precompact set of a Banach lattice is weakly precompact if and only if every order interval in is weakly precompact, or equivale…