On nonlinear maps preserving the reduced minimum modulus on differences of matrices

DOI10.1016/j.laa.2016.06.016zbMath1350.47030OpenAlexW2443080283MaRDI QIDQ306456

Constantin Costara

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.016

zbMATH Keywords

automatic continuityreduced minimum modulusnonlinear preserverfinite-dimensional

Mathematics Subject Classification ID

Automatic continuity (46H40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (3)

Surjective maps preserving the reduced minimum modulus of products ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps

Cites Work

• Unnamed Item
• Maps on matrices that preserve the spectrum
• Nonlinear maps preserving the minimum and surjectivity moduli
• Nonlinear maps preserving the reduced minimum modulus of operators
• Spectrum nonincreasing maps on matrices
• Surjective maps on matrices preserving the local spectral radius distance
• Additive maps preserving the reduced minimum modulus of Banach space operators
• Spectral theory of linear operators and spectral systems in Banach algebras

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