Multiplicative \(*\)-Lie isomorphisms between factors

DOI10.1016/j.jmaa.2008.05.077zbMath1141.47030OpenAlexW1978913992MaRDI QIDQ933499

Shuanping Du, Zhaofang Bai

Publication date: 21 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.077

zbMATH Keywords

factor\(*\)-Lie isomorphism

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

2-local \(*\)-Lie isomorphisms of operator algebras ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Unnamed Item ⋮ Maps preserving Jordan and $\ast$-Jordan triple product on operator $\ast$-algebras ⋮ Maps preserving products \(XY - YX^*\) on von Neumann algebras ⋮ Strong commutativity preserving maps on rings. ⋮ Additivity of maps preserving productsAP±PA^*onC^*-algebras ⋮ Non-linear *-Jordan derivations on von Neumann algebras ⋮ 2-local ⁎-Lie automorphisms of semi-finite factors ⋮ Multiplicative *-Lie isomorphisms between von Neumann algebras

Cites Work

• Unnamed Item
• Lie isomorphisms in prime rings with involution
• Lie homomorphisms of operator algebras
• On Herstein’s Lie map conjectures, I
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie isomorphisms of non-gpi rings wiht involution
• On lie isomorphisms in prime rings with involution
• Continuity of Lie Isomorphisms of Banach Algebras
• Lie Isomorphisms of Factors
• Lie Isomorphisms of Prime Rings