Additive mappings between Hermitian matrix spaces preserving rank not exceeding one

被引：11

作者：

Lim, MH ^{[1
]}

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 408卷

关键词：

rank-one nonincreasing mapping; additive mapping; Hermitian matrix;

D O I：

10.1016/j.laa.2005.06.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be a field of characteristic not two or three with an automorphism - of order two. Let F = (a is an element of K : (a) over bar = a). We characterize additive mappings T from one F-vector space of Hermitian matrices over K to another that preserve rank less than or equal to one for the following cases: (i) the image of T contains a matrix of rank at least three, (ii) every nonzero endormorphism of F is subjective. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：259 / 267

页数：9

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