Limitedly L-weakly compact operators

2023/06/28 by Alpay, Safak, Gorokhova, Svetlana, Emelyanov, Eduard
#46A40 #46B42 #46B50 #47B65 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2306.16338

Abstract

We introduce new class of limitedly L-weakly compact operators from a Banach space to a Banach lattice. This class is a proper subclass of the Bourgain-Diestel operators and it contains properly the class of L-weakly compact operators. We give its efficient characterization in term of sequences, investigate the domination problem, and study the completeness of this class of operators.

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