Surjective maps preserving the reduced minimum modulus of products

DOI10.56754/0719-0646.2501.139zbMath1529.47070MaRDI QIDQ6178180

Sepide Hajighasemi, Shirin Hejazian

Publication date: 1 September 2023

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

reduced minimum modulusJordan triple productoperator productnonlinear preservers

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10) Spectral sets of linear operators (47A25) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Nonlinear maps preserving the reduced minimum modulus of operators
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• Linear maps preserving the minimum and reduced minimum moduli
• The reduced minimum modulus
• Maps leaving functional values of operator products invariant
• Additive maps preserving the reduced minimum modulus of Banach space operators
• Zero product preserving maps on matrix rings over division rings
• Generalized inverses in C*-algebras II
• Spectral theory of linear operators and spectral systems in Banach algebras

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