Lineability and uniformly dominated sets of summing nonlinear operators
Functional Analysis
2015-10-01 v2
Abstract
In this note we prove an abstract version of a result from 2002 due to Delgado and Pi\~{n}ero on absolutely summing operators. Several applications are presented; some of them in the multilinear framework and some in a completely nonlinear setting. In a final section we investigate the size of the set of non uniformly dominated sets of linear operators under the point of view of lineability.
Keywords
Cite
@article{arxiv.1411.1100,
title = {Lineability and uniformly dominated sets of summing nonlinear operators},
author = {Daniel Pellegrino and Joedson Santos},
journal= {arXiv preprint arXiv:1411.1100},
year = {2015}
}
Comments
Minor corrections