Additive maps preserving matrices of inner local spectral radius zero at some fixed vector

被引:2
|
作者
Costara, Constantin [1 ]
机构
[1] Ovidius Univ Constanta, Fac Math & Informat, Mamaia Boul 124, Constanta 900527, Romania
来源
COMPLEX ANALYSIS AND SPECTRAL THEORY | 2020年 / 743卷
关键词
Additive map; Preserver; Local spectrum; Inner local spectral radius; LINEAR-MAPS; OPERATORS; INVERTIBILITY;
D O I
10.1090/conm/743/14954
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize surjective additive maps on the space of complex n x n matrices which preserve matrices of inner local spectral radius zero at some fixed nonzero vector.
引用
收藏
页码:1 / 9
页数:9
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