Linear preservers of quadratic operators

DOI10.1007/s00009-016-0783-8zbMath1362.47027OpenAlexW2520774463MaRDI QIDQ346986

Mourad Oudghiri, Khalid Souilah

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-016-0783-8

zbMATH Keywords

linear preserver problemsquadratic operators

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

Linear maps preserving C-normal operators, The perturbation class of algebraic operators and applications, Complex symmetric operators and additive preservers problem, Nonlinear preservers involving quadratic operators, Nonlinear preservers problem of complex symmetric operators

Cites Work

• Unnamed Item
• On properties of generalized quadratic operators
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Linear maps that preserve matrices annihilated by a polynomial
• Some general techniques on linear preserver problems
• Linear maps and additive maps that preserve operators annihilated by a polynomial
• Matricial ranges of quadratic operators
• Sums of small numbers of idempotents
• On generalized quadratic matrices
• Linear mappings preserving square-zero matrices
• Linear maps on operator algebras that preserve elements annihilated by a polynomial
• A survey on linear (additive) preserver problems
• Spectral theory of linear operators and spectral systems in Banach algebras