Maps preserving productX*Y + YX* on factor von Neumann algebras

DOI10.1080/03081087.2010.495390zbMath1262.47056OpenAlexW1964310052MaRDI QIDQ3090740

Lei Liu, Guo Xing Ji

Publication date: 1 September 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2010.495390

zbMATH Keywords

preserver problemsfactor von Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on Banach algebras (47B48)

Related Items

Nonlinear skew Jordan derivable maps on factor von Neumann algebras ⋮ Additivity of maps preserving Jordan triple products on prime \(C^*\)-algebras ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ Maps preserving the bi-skew Jordan product on factor von Neumann algebras ⋮ Maps preserving \(A^*A+AA^*\) on \(C^*\)-algebras ⋮ Nonlinear maps preserving the mixed product \(A \bullet B \circ C\) on von Neumann algebras ⋮ Mappings preserving sum of products a◊b + b*a (resp., a*◊b + ab*) on ∗-algebras ⋮ Unnamed Item ⋮ Maps preserving triple product on rings ⋮ Mappings preserving sum of products a∘b+ba∗ on factor von Neumann algebras ⋮ Maps preserving triple product A∗B + BA∗ on ∗-algebras ⋮ Maps preserving Jordan triple product $A^{*}B+BA^{*}$ on $\ast$-algebras

Cites Work

• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Lie isomorphisms in prime rings with involution
• Jordan triple maps.
• Multiplicative mappings of operator algebras
• Continuity of Lie Isomorphisms of Banach Algebras

This page was built for publication: Maps preserving productX*Y + YX* on factor von Neumann algebras