Maps preserving triple product A∗B + BA∗ on ∗-algebras

DOI10.1142/S1793557119500384MaRDI QIDQ4966675

Ali Taghavi, Vahid Darvish, Mehran Razeghi, Mojtaba Nouri

Publication date: 27 June 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\ast\)-isomorphismmaps preserving \(\eta\)-productprime \({}^\ast\)-algebras

Mathematics Subject Classification ID

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

Related Items (6)

Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras ⋮ Nonlinear \(*\)-Lie \(n\)-tuple derivations on prime \(*\)-algebras ⋮ Mappings preserving sum of products a◊b + b*a (resp., a*◊b + ab*) on ∗-algebras ⋮ Unnamed Item ⋮ Maps preserving triple product on rings ⋮ Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras

Cites Work

• Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Additivity of Jordan maps on standard Jordan operator algebras
• Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
• Jordan triple maps.
• Additivity of Jordan maps on standard operator algebras
• Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras
• Additivity of maps preserving Jordan \(\eta_{*}\)-products on \(C^{*}\)-algebras
• On isomorphisms of standard operator algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Maps preserving productX*Y + YX* on factor von Neumann algebras
• Multiplicative Lie Isomorphisms Between Prime Rings
• Jordan Maps on Associative Algebras
• MAPS PRESERVING η-PRODUCT A^⁎B+ηBA^⁎ ON C^⁎-ALGEBRAS
• When are Multiplicative Mappings Additive?

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