Linear maps preserving pairs of hermitian matrices on which the rank is additive and applications

被引：1

作者：

Tang X.-M. ^{[1
]}

Cao C.-G. ^{[1
]}

机构：

[1] Department of Mathematics, Heilingjiang Univ., Harbin

来源：

Journal of Applied Mathematics and Computing | 2005年 / 19卷 / 1-2期

关键词：

Adjoint matrix; Hermitian matrix; Jordan homomorphism; Linear preserver; Rank-additive; Skew Hermitian matrix;

D O I：

10.1007/BF02935803

中图分类号：

学科分类号：

摘要：

Denote the set of n × n complex Hermitian matrices by Hn. A pair of n × n Hermitian matrices (A, B) is said to be rank-additive if rank (A + B) = rank A+rank B. We characterize the linear maps from Hn into itself that preserve the set of rank-additive pairs. As applications, the linear preservers of adjoint matrix on Hn and the Jordan homomorphisms of Hn are also given. The analogous problems on the skew Hermitian matrix space are considered. © 2005 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：253 / 260

页数：7

共 24 条

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