Maps preserving the local spectral radius zero of generalized product of operators

DOI10.1080/03081087.2018.1479371OpenAlexW2809887079WikidataQ129645759 ScholiaQ129645759MaRDI QIDQ5239272

Zine El Abidine Abdelali, R. Marzouki, Abdelali Achchi

Publication date: 22 October 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1479371

zbMATH Keywords

local spectral radiusnonlinear preserversgeneralized productsquasi-nilpotent part of an operator

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

Preservers of the local spectral radius zero of Jordan product of operators, Nonlinear maps preserving certain subspaces of Lie product of operators, On the some spectral domains in the spectrum preserves, Preservers of the local spectral radii, Recent progress on local spectrum-preserving maps, Nonlinear fixed points preservers, Maps preserving fixed points of generalized product of operators, On the pseudospectrum preservers, Maps that preserve the local spectral subspace of generalized product of operators

Cites Work

• Unnamed Item
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• On maps preserving operators of local spectral radius zero
• Linear maps preserving operators of local spectral radius zero
• Maps preserving the local spectrum of Jordan product of matrices
• Maps preserving the local spectrum of skew-product of operators
• Maps preserving the spectrum of generalized Jordan product of operators
• Maps preserving the nilpotency of products of operators
• Local spectral radius preservers
• Additive maps preserving local spectrum
• Maps preserving peripheral spectrum of generalized products of operators
• A survey on preservers of spectra and local spectra
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Mappings preserving spectra of products of matrices
• Linear maps on M_n(C) preserving the local spectral radius
• Maps preserving the local spectrum of triple product of operators
• Preservers of local spectra of operator products