Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector
Canadian journal of mathematics, Tome 71 (2019) no. 4, pp. 749-771
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In this paper, we characterize linear maps on matrix spaces that preserve matrices of local spectral radius zero at some fixed nonzero vector.
Mots-clés :
linear preserver, local spectrum, local spectral radius, matrix
Bourhim, Abdellatif; Costara, Constantin. Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector. Canadian journal of mathematics, Tome 71 (2019) no. 4, pp. 749-771. doi: 10.4153/CJM-2018-017-0
@article{10_4153_CJM_2018_017_0,
author = {Bourhim, Abdellatif and Costara, Constantin},
title = {Linear {Maps} {Preserving} {Matrices} of {Local} {Spectral} {Radius} {Zero} at a {Fixed} {Vector}},
journal = {Canadian journal of mathematics},
pages = {749--771},
year = {2019},
volume = {71},
number = {4},
doi = {10.4153/CJM-2018-017-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-017-0/}
}
TY - JOUR AU - Bourhim, Abdellatif AU - Costara, Constantin TI - Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector JO - Canadian journal of mathematics PY - 2019 SP - 749 EP - 771 VL - 71 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-017-0/ DO - 10.4153/CJM-2018-017-0 ID - 10_4153_CJM_2018_017_0 ER -
%0 Journal Article %A Bourhim, Abdellatif %A Costara, Constantin %T Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector %J Canadian journal of mathematics %D 2019 %P 749-771 %V 71 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-017-0/ %R 10.4153/CJM-2018-017-0 %F 10_4153_CJM_2018_017_0
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