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

页码：1 / 8

页数：8

共 50 条

[1] Maps on matrices preserving local spectra
Bendaoud, M.
Douimi, M.
Sarih, M.
LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (07) : 871 - 880
[2] Surjective linear maps preserving local spectra
Bourhim, Abdellatif
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (01) : 383 - 393
[3] Maps preserving the local spectrum of quadratic products of matrices
Zine El Abidine Abdelali
Abdellatif Bourhim
Acta Scientiarum Mathematicarum, 2018, 84 (1-2): : 49 - 64
[4] Maps preserving the local spectrum of quadratic products of matrices
Abdelali, Zine El Abidine
Bourhim, Abdellatif
ACTA SCIENTIARUM MATHEMATICARUM, 2018, 84 (1-2): : 49 - 64
[5] Maps preserving the local spectrum of Jordan product of matrices
Bourhim, Abdellatif
Mabrouk, Mohamed
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 484 : 379 - 395
[6] 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
[7] Maps preserving the spectrum of polynomial products of matrices
El Abidine Abdelali, Zine
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 480 (02)
[8] Additive maps preserving matrices of inner local spectral radius zero at some fixed vector
Costara, Constantin
COMPLEX ANALYSIS AND SPECTRAL THEORY, 2020, 743 : 1 - 9
[9] Additive maps preserving local spectrum
Bourhim, Abdellatif
Ransford, Thomas
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (03) : 377 - 385
[10] Additive Maps Preserving Local Spectrum
Abdellatif Bourhim
Thomas Ransford
Integral Equations and Operator Theory, 2006, 55 : 377 - 385

← 1 2 3 4 5 →