Linear bijective maps preserving fixed values of products of matrices at fixed vectors

被引：3
|
作者：
Costara, Constantin [1 ]
机构：
[1] Ovidius Univ Constanta, Fac Math & Informat, Mamaia Bvd 124, Constanta, Romania
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 03期
关键词：
Fixed vectors; linear preservers; matrix products;
D O I：
10.1080/00927872.2021.1976202
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a fixed integer n >= 2, let M-n be the algebra of all n x n matrices over the complex field C. Let x(1), x(2) is an element of C-n be two fixed nonzero vectors, and fix also y(1),y(2) is an element of C-n. In this paper, we characterize linear bijective maps phi : M-n -> M-n having the property that phi(A)phi(B)x(2) = y(2) whenever ABx(1) = y(1).
引用
收藏
页码：920 / 926
页数：7
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