Some characterizations of L-weakly compact sets using the the unbounded absolutely weakly convergence and applications

Published 2 May 2020 in math.FA | (2005.00682v1)

Abstract: Based on the concept of unbounded absolutely weakly convergence, we give new characterizations of L-weakly compact sets. As applications, we find some properties of order weakly compact operators. Also, a new characterizations of order continuous Banach lattices are obtained.

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