  We show that the symmetric injective tensor product space
$\hat{\otimes}_{n,s,\epsilon}E$ 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
$\hat{\otimes}_{n,s,\epsilon}E$ if E is infinite dimensional and if $n\ge 2$
holds, which was proved in the other way by Dineen.
