Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603467 | Linear Algebra and its Applications | 2008 | 13 Pages |
Abstract
In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra M into another factor von Neumann algebra N is of the form A→ψ(A)+ξ(A), where ψ:M→N is an additive isomorphism or the negative of an additive anti-isomorphism and ξ:M→CI is a map with ξ(AB-BA)=0 for all A,B∈M.
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Physical Sciences and Engineering
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