  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) $ every nonzero element of which is non
$(r,s)$-absolutely summing operator for the real numbers $r,s$ with $1\leq
s\leq r<\infty$. This improve a result obtained in \cite{DanielT}.
