保留矩阵张量乘（p，k）规范的线性映射

Canadian Journal of Mathematics Pub Date : 2023-07-01 DOI:10.4153/s0008414x23000858

Zejun Huang, Nung-Sing Sze, Run Zheng

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引用次数: 0

摘要

让 $m,n\ge 2$ 为整数。用 $M_n$ 表示 $n/times n$ 复矩阵的集合。让 $\|\cdot\|_{(p,k)}$ 是 $M_{mn}$ 上的 $(p,k)$ 准则，其中$1\leq k\leq mn$，$2本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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Canadian Journal of Mathematics

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