Additivity of Jordan maps on standard Jordan operator algebras

DOI10.1016/j.laa.2008.07.023zbMath1149.47028OpenAlexW2064443982MaRDI QIDQ958027

Pei Sheng Ji, Zhong-yan Liu

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.023

zbMATH Keywords

additivityJordan mapsstandard Jordan operator algebras

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Ideals and subalgebras (46H10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (22)

The second nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras ⋮ Nonlinear mappings preserving Jordan-type \(\eta\)-\(\ast\)-products ⋮ Unnamed Item ⋮ Multiplicative maps of matrices over rings ⋮ Maps preserving -Lie product on factor von Neumann algebras ⋮ Unnamed Item ⋮ Maps preserving \(A^*A+AA^*\) on \(C^*\)-algebras ⋮ Nonlinear mappings preserving product \(XY+YX^\ast\) on factor von Neumann algebras ⋮ Maps preserving Jordan and $\ast$-Jordan triple product on operator $\ast$-algebras ⋮ Bijections on the Unit Ball of $B(H)$ Preserving $^{\ast}$-Jordan Triple Product ⋮ Maps preserving products \(XY - YX^*\) on von Neumann algebras ⋮ Unnamed Item ⋮ Additivity of maps preserving productsAP±PA^*onC^*-algebras ⋮ Nonlinear maps preserving product \(X^{*}Y+Y^{*}X\) on von Neumann algebras ⋮ Mappings preserving sum of products a∘b+ba∗ on factor von Neumann algebras ⋮ Non-linear *-Jordan derivations on von Neumann algebras ⋮ Mappings preserving sum of products \(a\circ b-ba^*\) on factor von Neumann algebras ⋮ Maps preserving quadratic product between positive cones of JBW-algebras ⋮ Maps preserving triple product A∗B + BA∗ on ∗-algebras ⋮ Additivity of Jordan maps on Jordan algebras ⋮ Maps preserving Jordan triple product $A^{*}B+BA^{*}$ on $\ast$-algebras ⋮ Nonlinear maps preserving Jordan triple \(\eta\)-\(\ast\)-products

Cites Work

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• Jordan maps on triangular algebras.
• Additivity of Jordan *-maps between operator algebras
• Jordan maps of nest algebras
• Additivity of Jordan maps on standard operator algebras
• Additivity of Jordan multiplicative maps on Jordan operator algebras
• Additivity of Jordan | ast-Maps on AW ∗ -Algebras
• Jordan Maps on Associative Algebras
• When are Multiplicative Mappings Additive?

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