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

共 41 条

[1] Linear Maps Preserving Operators of Inner Local Spectral Radius Zero at Some Fixed Vector
Costara, Constantin
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (06)
[2] Linear Maps Preserving Operators of Inner Local Spectral Radius Zero at Some Fixed Vector
Constantin Costara
Mediterranean Journal of Mathematics, 2020, 17
[3] Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector
Bourhim, Abdellatif
Costara, Constantin
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2019, 71 (04): : 749 - 771
[4] Additive maps preserving operators of inner local spectral radius zero
Ech-Cherif El Kettani M.
Benbouziane H.
Rendiconti del Circolo Matematico di Palermo (1952 -), 2014, 63 (2): : 311 - 316
[5] Nonlinear maps preserving the inner local spectral radius
Jari T.
Rendiconti del Circolo Matematico di Palermo (1952 -), 2015, 64 (1): : 67 - 76
[6] Maps preserving the inner local spectral radius zero of generalized product of operators
Achchi, Abdelali
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (02) : 355 - 362
[7] Maps preserving the inner local spectral radius zero of generalized product of operators
Abdelali Achchi
Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 355 - 362
[8] Maps preserving matrices of local reduced minimum modulus zero at a fixed vector
Bourhim, Abdellatif
Mabrouk, Mohamed
Mbekhta, Mostafa
LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 680 : 65 - 82
[9] LINEAR MAPS ON M-n(C) PRESERVING INNER LOCAL SPECTRAL RADIUS ZERO
Benbouziane, Hassane
Elkettani, Mustapha Ech-Cherif
Vadel, Ahmedou Mohamed
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 757 - 763
[10] Surjective maps on matrices preserving the local spectral radius distance
Costara, Constantin
LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (07) : 988 - 994

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