Lie product and local spectrum preservers

DOI10.1016/j.laa.2018.05.013OpenAlexW2803882842WikidataQ115344344 ScholiaQ115344344MaRDI QIDQ1642025

Z. Abdelali, Mohamed Mabrouk, Abdellatif Bourhim

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.05.013

zbMATH Keywords

Lie productlocal spectrumnonlinear preserversthe single-valued extension property

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items (7)

Maps preserving some spectral domains of operator products ⋮ Nonlinear maps preserving certain subspaces of Lie product of operators ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ On the local spectral properties of the left multiplication operators ⋮ Maps preserving the spectrum of polynomial products of matrices

Cites Work

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• A survey on preservers of spectra and local spectra
• Surjective maps on matrices preserving the local spectral radius distance
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Maps preserving -Lie product on factor von Neumann algebras
• Jordan product and local spectrum preservers
• Maps on upper triangular matrices preserving Lie products
• Maps preserving the local spectrum of triple product of operators
• Maps preserving the local spectrum of the skew Jordan product of operators

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