Linear Surjective Maps Preserving at Least One Element from the Local Spectrum

DOI10.1017/S001309151700027XOpenAlexW2791835211MaRDI QIDQ4608144

Constantin Costara

Publication date: 16 March 2018

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309151700027x

zbMATH Keywords

linear preserverlocal spectral radiuslocal spectruminner local spectral radius

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items (1)

Spectrum and local spectrum preservers of skew Lie products of matrices

Cites Work

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• Spectrum-preserving linear maps
• A primer on spectral theory
• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Additive maps preserving local spectrum
• Linear maps preserving the spectral radius
• A survey on preservers of spectra and local spectra
• Local spectrum and local spectral radius of an operator at a fixed vector
• Linear maps on M_n(C) preserving the local spectral radius
• Automatic continuity for linear surjective maps compressing the point spectrum

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