%0 Journal Article
%T Notes on the geometry of space of polynomials
%A Han Ju Lee
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0708.0331v1