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- W4385079438 abstract "Let 𝒜 and ℬ be two von Neumann algebras. For A,B∈𝒜, define A•B=A∗B+B∗A and A∘B=A∗B−B∗A to be the new products of A and B. Suppose that a bijective map Φ:𝒜→ℬ satisfies Φ(A•B∘C)=Φ(A)•Φ(B)∘Φ(C) for all A,B,C∈𝒜. In this paper, it is proved that if 𝒜 and ℬ are two von Neumann algebras with no central abelian projections, then the map Φ(I)Φ is the sum of a ∗-isomorphism and a conjugate linear ∗-isomorphism, where Φ(I) is a self-adjoint central element in ℬ with Φ(I)2=I." @default.
- W4385079438 created "2023-07-23" @default.
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- W4385079438 date "2023-06-01" @default.
- W4385079438 modified "2023-09-25" @default.
- W4385079438 title "NONLINEAR MAPS PRESERVING THE MIXED PRODUCT A•B∘C ON VON NEUMANN ALGEBRAS" @default.
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- W4385079438 doi "https://doi.org/10.1216/rmj.2023.53.671" @default.
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