Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector

DOI10.4153/CJM-2018-017-0zbMath1498.47082OpenAlexW2801875556MaRDI QIDQ5224970

Constantin Costara, Abdellatif Bourhim

Publication date: 25 July 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2018-017-0

zbMATH Keywords

linear preserverlocal spectral radiusmatrixlocal spectrum

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11) Linear preserver problems (15A86)

Related Items

Maps preserving matrices of local reduced minimum modulus zero at a fixed vector, Maps preserving the local reduced minimum modulus, Linear maps preserving operators of inner local spectral radius zero at some fixed vector, Additive maps preserving matrices of inner local spectral radius zero at some fixed vector, Recent progress on local spectrum-preserving maps

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