Spectrum nonincreasing maps on matrices

DOI10.1016/j.laa.2012.12.034zbMath1267.15008arXiv1210.0958OpenAlexW2963265812MaRDI QIDQ1947110

Xiao Fei Qi, Bojan Kuzma, Gregor Dolinar, Jin-Chuan Hou

Publication date: 12 April 2013

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

Full work available at URL: https://arxiv.org/abs/1210.0958

zbMATH Keywords

matrix algebrasmatrix spectrumtrace identitystandard formgeneral preservers

Mathematics Subject Classification ID

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

Related Items (8)

On nonlinear maps preserving the reduced minimum modulus on differences of matrices ⋮ Nonlinear Local Invertibility Preservers ⋮ Preservers of local spectrum of matrix skew products ⋮ Preservers of pseudo spectral radius of operator products ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Preservers of local spectrum of matrix Jordan triple products ⋮ A note on preservers of pseudo spectrum of matrix products ⋮ Maps on matrices compressing the local spectrum in the spectrum

Cites Work

• Maps on matrices that preserve the spectrum
• Spectrum-preserving linear maps
• Spectrum-preserving additive maps
• A primer on spectral theory
• Lipschitz spectrum preserving mappings on algebras of matrices
• Maps on matrices preserving local spectra
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear Transformations on Algebras of Matrices
• Mappings preserving spectra of products of matrices
• Spectrum preserving linear mappings in Banach algebras
• Non-Linear Spectrum-Preserving Maps

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