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arXiv · 1411.1100

Lineability and uniformly dominated sets of summing nonlinear operators

Daniel Pellegrino·Joedson Santos
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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.

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Daniel Pellegrino, Joedson Santos. 2014-11-04. Lineability and uniformly dominated sets of summing nonlinear operators. https://arxiv.org/abs/1411.1100

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