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- W1847693733 abstract "Let H be a Hilbert space and N a nest in H. Denote by Sa(H)the Jordan ring of all self-adjoint operators on H and AlgN the nest algebraassociated to N. We show that a bijective map Φ : Sa(H) → Sa(H)satisfying (1) Φ(ABA) = Φ(A)Φ(B)Φ(A) for every pair of A,B, or (2)Φ(AB + BA) = Φ(A)Φ(B) + Φ(B)Φ(A) for every pair of A,B, or (3)Φ(12 (AB +BA)) = 12 (Φ(A)Φ(B)+Φ(B)Φ(A)) for every pair of A,B mustbe additive, that is, a Jordan ring isomorphism. We also show that if a bijectivemap Φ : AlgN → AlgN satisfies the Jordan multiplicativity of theform (2) or (3), then Φ must be a Jordan isomorphism. Moreover, such Jordanmultiplicative maps are characterized completely." @default.
- W1847693733 created "2016-06-24" @default.
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- W1847693733 date "2006-01-01" @default.
- W1847693733 modified "2023-09-25" @default.
- W1847693733 title "ADDITIVITY OF JORDAN MULTIPLICATIVE MAPS ON JORDAN OPERATOR ALGEBRAS" @default.
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- W1847693733 doi "https://doi.org/10.11650/tjm.10.2006.867" @default.
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