Additivity of Jordan | ast-Maps on AW ∗ -Algebras

DOI10.2307/2046586zbMath0627.46077OpenAlexW1982348241MaRDI QIDQ3763110

Jôsuke Hakeda

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046586

zbMATH Keywords

orthogonal projectionsadditivity of Jordan *-maps on \(AW^ *\)-algebrasconjugate linear *-ring isomorphismconjugate linear anti- isomorphism

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Nonassociative selfadjoint operator algebras (46L70)

Related Items (17)

Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras ⋮ Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras ⋮ Additivity of maps preserving Jordan triple products on prime \(C^*\)-algebras ⋮ Additivity of multiplicative maps on triangular rings. ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ Bijections on the Unit Ball of $B(H)$ Preserving $^{\ast}$-Jordan Triple Product ⋮ Maps preserving products \(XY - YX^*\) on von Neumann algebras ⋮ Additivity of maps preserving productsAP±PA^*onC^*-algebras ⋮ Jordan maps of nest algebras ⋮ Additivity of Jordan maps on standard Jordan operator algebras ⋮ Additivity of Jordan elementary maps on nest algebras ⋮ Preservers of \(\lambda\)-Aluthge transforms ⋮ Jordan maps on triangular algebras. ⋮ Maps preserving quadratic product between positive cones of JBW-algebras ⋮ Additivity of Jordan maps on Jordan algebras ⋮ Additivity of Jordan maps on standard operator algebras ⋮ Multiplicative maps of ordered Jordan algebras

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