Linear maps preserving (p,k) norms of tensor products of matrices

Zejun Huang, Nung-Sing Sze, Run Zheng

Let $m,n\ge 2$ be integers. Denote by $M_n$ the set of $n\times n$ complex matrices. Let $\Vert \cdot {\Vert }_{(p,k)}$ be the $(p,k)$ norm on $M_{mn}$ with $1\le k\le mn$ and $2<p<\infty$.…