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arxiv: 0811.0092 · v5 · submitted 2008-11-01 · 🧮 math.FA

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

classification 🧮 math.FA
keywords boundedlineabilitylinearnon-absolutelyoperatorssummingadaptedcases
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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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