Spectrum nonincreasing maps on matrices
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Publication:1947110
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
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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