Spaceability of the set of bounded linear non-absolutely summing operators in Quasi-Banach sequence spaces

In the short note we prove that for every $0<p<1$, there exists an infinite dimensional closed linear subspace of $$\mathcal{L}$\left( \ell_{p};\ell_{p}\right) $everynonzeroelementofwhichisnon$(r,s)$-absolutelysummingoperatorfortherealnumbers$r,s$with$1\leq s\leq r<\infty$. This improve a result obtained in \cite{DanielT}.