$(p,q)$-regular operators between Banach lattices
Functional Analysis
2017-08-14 v1
Abstract
We study the class of -regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for -regular operators yielding new Marcinkiewicz-Zygmund type inequalities for Banach function spaces. An extension theorem for -regular operators defined on a subspace of is also given.
Cite
@article{arxiv.1708.03363,
title = {$(p,q)$-regular operators between Banach lattices},
author = {Enrique A. Sánchez-Pérez and Pedro Tradacete},
journal= {arXiv preprint arXiv:1708.03363},
year = {2017}
}