Non-linear preservers of the product of \(C\)-skew symmetry

DOI10.1007/s00009-023-02463-6OpenAlexW4383343027MaRDI QIDQ6095332

Hakima Mohsine, Mourad Oudghiri, Zouheir Amara

Publication date: 8 September 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02463-6

zbMATH Keywords

skew symmetric matricesnonlinear preservers problemskew symmetric operators

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear operators in (C^*)- or von Neumann algebras (47C15) Nonlinear operators and their properties (47Hxx)

Cites Work

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• The weight spectrum of certain affine Grassmann codes
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• Complex symmetric partial isometries
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• Skew symmetric normal operators
• Jacobi’s Method for Skew-Symmetric Matrices
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• Complex symmetric operators, skew symmetric operators and reflexivity
• Skew-symmetric operators and reflexivity
• Condensed Forms for Skew-Hamiltonian/Hamiltonian Pencils
• Maps onB(H) Preserving Idempotents
• Nonlinear preservers problem of complex symmetric operators
• THE RIESZ DECOMPOSITION THEOREM FOR SKEW SYMMETRIC OPERATORS
• Complex symmetric operators and applications
• Maps preserving operator pairs whose products are projections

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