Abstract
This article investigates a bijective map between two von Neumann algebras, one of which has no central abelian projections, satisfying for all in the domain, where is the skew Lie product of and . We show that the map is a sum of a linear -isomorphism and a conjugate linear -isomorphism, where is a self-adjoint central element in the range with .
Citation
Changjing Li. Fangyan Lu. Ting Wang. "Nonlinear maps preserving the Jordan triple -product on von Neumann algebras." Ann. Funct. Anal. 7 (3) 496 - 507, August 2016. https://doi.org/10.1215/20088752-3624940
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