Linear maps preserving rank of tensor products of matrices

被引：8

作者：

Zheng, Baodong ^{[1
]}

Xu, Jinli ^{[1
]}

Fosner, Ajda ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

[2] Univ Primorska, Fac Management, Koper, Slovenia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 02期

基金：

黑龙江省自然科学基金;

关键词：

15A03; 15A86; 15A69; tensor product; rank of a matrix; linear preserver; TRANSFORMATIONS;

D O I：

10.1080/03081087.2013.869589

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be the algebra of all complex matrices. We characterize linear maps satisfyingfor all , .

引用

页码：366 / 376

页数：11

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