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arXiv · 0801.1812

Lineability of summing sets of homogeneous polynomials

G. Botelho·M. C. Matos·D. Pellegrino
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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 $S_{p;q}(P)=\{a\in E:P\mathrm{is}% (p;q)\mathrm{summing at}a\}$.

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G. Botelho, M. C. Matos, D. Pellegrino. 2008-01-11. Lineability of summing sets of homogeneous polynomials. https://arxiv.org/abs/0801.1812

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