2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135475We show that the symmetric injective tensor product space $\hat{\otimes}_{n,s,ε}E$ is not complex strictly convex if E is a complex Banach space of $\dim E \ge 2$ and if $n\ge 2$ holds. It is also reproved that $\ell_\infty$ is finitely represented in $\hat{\otimes}_{n,s,ε}E$ if E is infinite dimensional and if $n\ge 2$ holds, which was proved in the other way by Dineen.Functional Analysis46B20text