English

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

Functional Analysis 2009-02-17 v5

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.

Keywords

Cite

@article{arxiv.0811.0092,
  title  = {Lineability of the set of bounded linear non-absolutely summing operators},
  author = {G. Botelho and D. Diniz and D. Pellegrino},
  journal= {arXiv preprint arXiv:0811.0092},
  year   = {2009}
}

Comments

7 pages