Abstract
In this note we prove an abstract version of a result from 2002 due to Delgado and Piñeiro 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 was supported by CNPq. Joedson Santos was supported by CNPq (Edital Universal 14/2012).
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Pellegrino, D., Santos, J. Uniformly dominated sets of summing nonlinear operators. Arch. Math. 105, 55–66 (2015). https://doi.org/10.1007/s00013-015-0785-y
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DOI: https://doi.org/10.1007/s00013-015-0785-y