Unbounded convergence in Banach lattices and applications

Published 6 Mar 2019 in math.FA | (1903.02168v12)

Abstract: Several papers investigated unbounded convergences in Banach lattices. Combine all unbounded convergences, including unbounded order (norm, absolute weak, absolute weak*) convergence, we characterize L-weakly compact sets, L-weakly compact operators and M-weakly compact operators on Banach lattices. Some related results are obtained as well.

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