Non-linear maps preserving singular algebraic operators

DOI10.4067/S0716-09172016000300007OpenAlexW2519139544MaRDI QIDQ4604436

Mourad Oudghiri, Khalid Souilah

Publication date: 26 February 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172016000300007

zbMATH Keywords

algebraic operatorsnon-linear preserver problems

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)

Related Items (1)

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Cites Work

• Nonlinear maps preserving the minimum and surjectivity moduli
• Linear maps and additive maps that preserve operators annihilated by a polynomial
• Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
• Additive mappings preserving operators of rank one
• Sums of small numbers of idempotents
• Additive maps preserving nilpotent operators or spectral radius
• Adjacency Preserving Maps on Hermitian Matrices
• Adjacency preserving maps on matrices and operators
• Invertible completions of $2\times 2$ upper triangular operator matrices
• From geometry to invertibility preservers
• Spectral theory of linear operators and spectral systems in Banach algebras
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