Maps preserving the bi-skew Jordan product on factor von Neumann algebras

DOI10.1515/gmj-2023-2050zbMath1529.47068MaRDI QIDQ6084455

Mehran Razeghi, Mojtaba Nouri, Vahid Darvish

Publication date: 30 November 2023

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

zbMATH Keywords

\(\ast\)-isomorphismmaps preserving problemprime \(\ast\)-algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Nonlinear maps preserving the Jordan triple \(*\)-product on von Neumann algebras
• Nonlinear skew Lie triple derivations between factors
• Characterizations of Lie derivations of \(B(X)\)
• Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann 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
• The structure of nonlinear Lie derivation on von Neumann algebras
• Non-linear *-Jordan derivations on von Neumann algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• Maps preserving productX*Y + YX* on factor von Neumann 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
• When are Multiplicative Mappings Additive?

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