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

页码：1 / 9

页数：9

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