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

2008/11/01 by Geraldo Botelho, G. Botelho, D. Diniz +6
Mathematics · #47B10 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:47B10

paper · pdf · doi:10.48550/arxiv.0811.0092

7 pages

openalex publication_date 2008/11/01 · arxiv created 2009/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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