Surjective linear maps preserving local spectra

DOI10.1016/J.LAA.2009.08.020zbMath1186.47003OpenAlexW2064732611MaRDI QIDQ1044618

Abdellatif Bourhim

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.020

zbMATH Keywords

linear preserverslocal spectral radiuslocal spectruminner local spectral radius

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items (15)

Jordan product and local spectrum preservers ⋮ On maps preserving operators of local spectral radius zero ⋮ Preservers of the local spectral radius zero of Jordan product of operators ⋮ Linear maps preserving operators of inner local spectral radius zero at some fixed vector ⋮ Linear maps preserving operators of local spectral radius zero ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ Maps preserving the local spectrum of Jordan product of matrices ⋮ Maps preserving the local spectrum of triple product of operators ⋮ Additive local spectrum compressors ⋮ Inner local spectral radius preservers ⋮ Nonlinear maps preserving the inner local spectral radius ⋮ Additive maps preserving operators of inner local spectral radius zero ⋮ Multiplicatively spectrum preserving maps on rectangular matrices ⋮ Maps on matrices compressing the local spectrum in the spectrum

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• Invertibility preserving linear maps on ℒ(𝒳)

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