Maps on matrices that preserve the spectrum

DOI10.1016/j.laa.2011.04.026zbMath1231.15003OpenAlexW1979578696MaRDI QIDQ636229

Constantin Costara

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.026

zbMATH Keywords

SpectrumEigenvaluesAlgebra of matrices.Preservers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (15)

On nonlinear maps preserving the reduced minimum modulus on differences of matrices ⋮ Preservers of local spectrum of matrix skew products ⋮ Linear preservers of polynomial numerical hulls of matrices ⋮ Nonlinear maps preserving the reduced minimum modulus of operators ⋮ Spectrum nonincreasing maps on matrices ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ Linear map preserving the right spectrum of quaternion matrices ⋮ Nonlinear maps preserving the minimum and surjectivity moduli ⋮ Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector ⋮ Spectrally additive group homomorphisms on Banach algebras ⋮ Maps on matrices preserving local spectra ⋮ Extremal case in Marcus–Oliveira conjecture and beyond ⋮ Maps on matrices compressing the local spectrum in the spectrum

Cites Work

• Unnamed Item
• Spectrum-preserving additive maps
• Lipschitz spectrum preserving mappings on algebras of matrices
• Linear Transformations on Algebras of Matrices
• Mappings preserving spectra of products of matrices
• Non-Linear Spectrum-Preserving Maps

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