Resumen de A note on absolutely p-summing operators
Let $X, Y$ be Banach spaces. If $X$ is a $\mathcal{D}_q$-space ($1 < q\leq +\infty$) we prove that $\Pi^d_p (X, Y )\subset\Pi_p(X, Y )$ if and only if $Y$ is isomorphic to a subspace of an $L^p$-space, where $p$ is the conjugate number for $q$. We also prove that, if $Y$ is a $\mathcal{D}_p$-space, $\Pi_p(X, Y )\subset\Pi^d_p (X, Y )$ if and only if $X^\ast$ is isomorphic to a subspace of an $L^p$-space.
