Nonlinear triple product \(A^*B + B^*A\) for derivations on \(\ast \)-algebras

DOI10.1134/S0001434620070196zbMath1451.16037OpenAlexW3047197345MaRDI QIDQ2197248

Vahid Darvish, Mehran Razeghi, Mojtaba Nouri

Publication date: 31 August 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620070196

zbMATH Keywords

additive mapprime \(\ast \)-algebratriple product derivation

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25)

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Nonlinear maps preserving bi-skew Jordan triple product on factor von Neumann algebras ⋮ Unnamed Item

Cites Work

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• 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
• Derivations of nest algebras
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras
• Non-linear \(\lambda\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-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
• Ring derivations on standard operator algebras
• Derivations of \(W^ *\)-algebras
• Lie homomorphisms of operator algebras
• Non-linear *-Jordan derivations on von Neumann algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Nonlinear skew Jordan derivable maps on factor von Neumann algebras
• Maps preserving Jordan and $\ast$-Jordan triple product on operator $\ast$-algebras
• A note on non-linear ∗-Jordan derivations on ∗-algebras
• MAPS PRESERVING η-PRODUCT A^⁎B+ηBA^⁎ ON C^⁎-ALGEBRAS
• Non-linear ξ-Jordan *-derivations on von Neumann algebras