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Limitedly L-weakly compact operators
Published 28 Jun 2023 in math.FA | (2306.16338v1)
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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