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Lineability and uniformly dominated sets of summing nonlinear operators (1411.1100v2)
Published 4 Nov 2014 in math.FA
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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