Nonlinear preservers involving quadratic operators

DOI10.1007/s10476-021-0103-9zbMath1495.47063OpenAlexW3199821148MaRDI QIDQ2052774

Khalid Souilah, Mourad Oudghiri

Publication date: 27 November 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0103-9

zbMATH Keywords

quadratic operatornonlinear preserver problem

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)

Cites Work

• Linear preservers of quadratic operators
• On properties of generalized quadratic operators
• Maps on \({\mathcal B}({\mathcal H})\) preserving involution
• Maps on matrix algebras preserving idempotents
• Some general techniques on linear preserver problems
• Hua's fundamental theorems of the geometry of matrices and related results
• Matricial ranges of quadratic operators
• Sums of small numbers of idempotents
• Maps onB(H) Preserving Idempotents
• A survey on linear (additive) preserver problems
• On the Automorphisms of a Sfield
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