Limitedly L-weakly compact operators
Functional Analysis
2023-06-29 v1
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.
Cite
@article{arxiv.2306.16338,
title = {Limitedly L-weakly compact operators},
author = {Safak Alpay and Svetlana Gorokhova and Eduard Emelyanov},
journal= {arXiv preprint arXiv:2306.16338},
year = {2023}
}