LIPSCHITZ SPECTRUM PRESERVING MAPPINGS ON ALGEBRAS OF MATRICES

被引：10

作者：

MRCUN, J

机构：

[1] University of Ljubljana Institute of Mathematics

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 215卷

关键词：

D O I：

10.1016/0024-3795(93)00078-E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that for any Lipschitz mapping T on the algebra M(n) of n x n matrices over the complex numbers satisfying T(0) = 0 and sigma(T(A) - T(B)) subset of sigma(A - B),A,B is an element of M(n), there exists an invertible matrix U is an element of M(n) such that T(A) = UAU(-1) for all A is an element of M(n) or T(A) = UA(t)U(-1) for all A is an element of M(n).

引用

页码：113 / 120

页数：8