Convex Bodies Associated to Tensor Norms

Maite Fernández-Unzueta, Luisa F. Higueras-Montaño

We determine when a convex body in ${\mathbb{R}}^d$ is the closed unit ball of a reasonable crossnorm on ${\mathbb{R}}^{d_1}\otimes \cdots \otimes {\mathbb{R}}^{d_l},$ $d=d_1\cdots d_l.$ We…