Additive local spectrum compressors

DOI10.1016/j.laa.2011.03.050zbMath1231.47031OpenAlexW2030484434MaRDI QIDQ551302

Mohamed Bendaoud, Mustapha Sarih

Publication date: 15 July 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.2011.03.050

zbMATH Keywords

local spectral radiuslocal spectrumadditive preservers

Mathematics Subject Classification ID

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

Related Items (5)

Nonlinear Local Invertibility Preservers ⋮ Preservers of local spectra of matrix sums ⋮ Preservers of local spectra of operator products ⋮ Maps on matrices preserving local spectra ⋮ Additive Maps Preserving the Inner Local Spectral Radius

Cites Work

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• Additive maps between standard operator algebras compressing certain spectral functions
• Surjective linear maps preserving local spectra
• A primer on spectral theory
• Additive spectrum compressors
• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Additive maps preserving nilpotent operators or spectral radius
• Local spectrum and local spectral radius of an operator at a fixed vector
• Asymptotic intertwining and spectral inclusions on Banach spaces
• Spectral theory of linear operators and spectral systems in Banach algebras

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