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arXiv · 0811.0092

Lineability of the set of bounded linear non-absolutely summing operators

G. Botelho·D. Diniz·D. Pellegrino
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Abstract

In this note we solve, except for extremely pathological cases, a question posed by Puglisi and Seoane-Sepulveda on the lineability of the set of bounded non-absolutely summing linear operators. We also show how the idea of the proof can be adapted to several related situations.

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G. Botelho, D. Diniz, D. Pellegrino. 2009-02-17. Lineability of the set of bounded linear non-absolutely summing operators. https://arxiv.org/abs/0811.0092

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