Abstract
We prove that every bijective map that preserves mixed Lie triple products from a factor von Neumann algebra M with dimM>4 into another factor von Neumann algebra N is of the form A→ϵΨ(A), where ϵ∈{1,−1} and Ψ:M→N is a linear ∗-isomorphism or a conjugate linear ∗-isomorphism. Also, we give the structure of this map when dimM=4.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.