A note on linear preservers of certain ranks of tensor products of matrices

被引：7
作者：
Lim, Ming-Huat [1 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 07期
关键词：
rank; linear preservers; tensor product; 15A04; 15A86; 15A03; SEPARABILITY;
D O I：
10.1080/03081087.2014.945445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we give a simple proof as well as an extension of a very recent result of B. Zheng, J. Xu and A. Fosner concerning linear maps between vector spaces of complex square matrices that preserve the rank of tensor products of matrices by using a structure theorem of R. Westwick on linear maps between tensor product spaces that preserve non-zero decomposable elements.
引用
收藏
页码：1442 / 1447
页数：6
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