A note on nonlinear skew Lie triple derivation between Prime $\ast$-algebras

DOI10.11568/kjm.2018.26.3.459zbMath1440.47028OpenAlexW2894412946MaRDI QIDQ5204445

Vahid Darvish, Ali Taghavi, Mojtaba Nouri

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/648/418

zbMATH Keywords

additive mapLie triple derivationprime \(*\)-algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) General theory of topological algebras with involution (46K05)

Related Items

Mixed *-Jordan-type derivations on *-algebras ⋮ Nonlinear skew commuting maps on \(*\)-rings

Cites Work

• Nonlinear skew Lie triple derivations between factors
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Non-linear *-Jordan derivations on von Neumann algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Non-linear ξ-Jordan *-derivations on von Neumann algebras