Nonlinear skew commuting maps on \(*\)-rings

DOI10.1007/s11253-022-02108-zzbMath1499.16111OpenAlexW4309886627MaRDI QIDQ2107820

Liang Kong, Jian Hua Zhang

Publication date: 5 December 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02108-z

zbMATH Keywords

nonlinear skew commuting maps

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Cites Work

• Unnamed Item
• Unnamed Item
• Strong skew commutativity preserving maps on rings with involution.
• Commuting maps over the ring of strictly upper triangular matrices.
• Nonlinear skew Lie triple derivations between factors
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Strong commutativity preserving maps on rings.
• Strong skew commutativity preserving maps on von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Commuting maps: a survey.
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Maps preserving strong skew Lie product on factor von Neumann algebras
• Centralizing mappings and derivations in prime rings
• Continuous commuting functions on matrix algebras
• On Jordan *-derivations and an application
• Derivations in Prime Rings
• Quadratic and Quasi-Quadratic Functionals
• A note on nonlinear skew Lie triple derivation between Prime $\ast$-algebras

This page was built for publication: Nonlinear skew commuting maps on \(*\)-rings