Continuous maps preserving local spectra of matrices

被引：1
|
作者：
Costara, Constantin [1 ]
机构：
[1] Ovidius Univ, Fac Math & Informat, Mamaia Blvd 124, Constanta 900527, Romania
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 492卷
关键词：
Continuous maps; Nonlinear preserver; Local spectrum; Local inner spectral radius;
D O I：
10.1016/j.laa.2015.11.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize continuous maps on matrix spaces which compress/expand the local spectrum at each vector. We also characterize continuous maps on matrices which decrease/increase at each vector some expressions defined in terms of the local spectral radius and the local inner spectral radius. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
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