Maps preserving -Lie product on factor von Neumann algebras

DOI10.1080/03081087.2016.1142497zbMath1355.47021OpenAlexW2276014232WikidataQ115299579 ScholiaQ115299579MaRDI QIDQ2953176

Meili Wang, Guo Xing Ji

Publication date: 3 January 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1142497

zbMATH Keywords

Lie isomorphismJordan isomorphism\(*\)-isomorphismfactor von Neumann algebra\(*\)-Lie product

Mathematics Subject Classification ID

Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

Lie product and local spectrum preservers ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Unnamed Item ⋮ Recent progress on local spectrum-preserving maps ⋮ Mappings preserving sum of products a∘b+ba∗ on factor von Neumann algebras

Cites Work

• Additivity of Jordan maps on standard Jordan operator algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Additivity of Jordan maps on standard operator algebras
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• Jordan homomorphisms of the symmetric elements of a ring with involution
• Multiplicative *-Lie isomorphisms between von Neumann algebras
• Additivity of Lie multiplicative maps on triangular algebras
• ADDITIVITY OF LIE MAPS ON OPERATOR ALGEBRAS

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