Preservers of local spectra of matrix sums

DOI10.1016/j.laa.2012.10.028zbMath1282.47054OpenAlexW1976595792MaRDI QIDQ1938706

Mohamed Bendaoud

Publication date: 22 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.028

zbMATH Keywords

local spectral radiuslocal spectrumnonlinear preservers

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items (8)

Nonlinear Local Invertibility Preservers ⋮ Surjective maps on matrices preserving the local spectral radius distance ⋮ Preservers of local spectrum of matrix skew products ⋮ Preservers of pseudo spectral radius of operator products ⋮ Recent progress on local spectrum-preserving maps ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Preservers of local spectra of operator products ⋮ Preservers of local spectrum of matrix Jordan triple products

Cites Work

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• Additive local spectrum compressors
• Automatic continuity for linear surjective mappings decreasing the local spectral radius at some fixed vector
• Spectrum-preserving linear maps
• A primer on spectral theory
• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Maps on matrices preserving local spectra
• Local spectrum and local spectral radius of an operator at a fixed vector
• Mappings preserving spectra of products of matrices
• Linear maps on M_n(C) preserving the local spectral radius
• Invertibility preserving linear maps on ℒ(𝒳)
• Spectral theory of linear operators and spectral systems in Banach algebras

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