Maps preserving the local spectrum of the skew Jordan product of operators

DOI10.7153/oam-11-10zbMath1367.47045OpenAlexW2586579878MaRDI QIDQ5346609

Mohammed Mabrouk, R. Marzouki, Abdelali Achchi

Publication date: 26 May 2017

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-11-10

zbMATH Keywords

local spectrumnonlinear preserversskew-Jordan product

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)

Lie product and local spectrum preservers ⋮ Retracted article: Maps preserving peripheral local spectrum of skew Jordan product of operators ⋮ Condition spectrum of rank one operators and preservers of the condition spectrum of skew product of operators ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ On the local spectral properties of the left multiplication operators ⋮ Maps preserving the pseudo spectrum of skew triple product of operators

Cites Work

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• Linear maps preserving operators of local spectral radius zero
• Maps preserving the local spectrum of Jordan product of matrices
• Automatic continuity for linear surjective mappings decreasing the local spectral radius at some fixed vector
• Maps preserving the local spectrum of skew-product of operators
• Additive maps preserving local spectrum
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Jordan product and local spectrum preservers
• Maps preserving the local spectrum of triple product of operators

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