Lineability of summing sets of homogeneous polynomials

Abstract

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

15 pages