Lineability of summing sets of homogeneous polynomials

G. Botelho; M. C. Matos; D. Pellegrino

Lineability of summing sets of homogeneous polynomials

Functional Analysis 2008-01-14 v1

Authors: G. Botelho , M. C. Matos , D. Pellegrino

Abstract

Given a continuous $n$ -homogeneous polynomial $P\colon E\longrightarrow F$ between Banach spaces and $1\leq q\leq p<\infty$ , in this paper we investigate some properties concerning lineability and spaceability of the $(p;q)$ -summing set of $P$ , defined by $S_{p;q}(P)=\{a\in E:P\mathrm{is}% (p;q)\mathrm{summing at}a\}$ .

Cite

@article{arxiv.0801.1812,
  title  = {Lineability of summing sets of homogeneous polynomials},
  author = {G. Botelho and M. C. Matos and D. Pellegrino},
  journal= {arXiv preprint arXiv:0801.1812},
  year   = {2008}
}

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15 pages

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