Some linear preserver problems on block triangular matrix algebras

被引：6

作者：

Chooi, WL ^{[1
]}

Lim, MH ^{[1
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 370卷

关键词：

block triangular matrices; rank-one nonincreasing maps; adjugate-commuting maps; compound-commuting maps;

D O I：

10.1016/S0024-3795(03)00365-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we classify rank-one nonincreasing maps psi on n-square block triangular matrix algebras with the assumption that psi (I-n) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting maps on block triangular matrix algebras. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：25 / 39

页数：15

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