Linear maps preserving idempotents of tensor products of matrices

被引：4

作者：

Zheng, Baodong ^{[1
]}

Xu, Jinli ^{[1
]}

Fosner, Ajda ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Univ Primorska, Fac Management, SI-6104 Koper, Slovenia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 470卷

基金：

中国国家自然科学基金; 黑龙江省自然科学基金;

关键词：

Linear preserver; Tensor product; Idempotent;

D O I：

10.1016/j.laa.2014.01.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let IF be a field of characteristic not 2 and M-n the algebra of all n x n matrices over IF. The aim of this paper is to characterize linear maps phi: M-m1...ml -> M-m1...ml such that phi(A(1) circle times . . . circle times A(l)) is an idempotent whenever A(1) circle times . . . circle times A(l) is an idempotent. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：25 / 39

页数：15

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