Nonlinear skew Jordan derivable maps on factor von Neumann algebras

Abstract

AbstractLet be a factor von Neumann algebra. Suppose that is a nonlinear skew Jordan derivable map. Then, is an additive -derivation. In particular, if the von Neumann algebra is infinite type I factors, a concrete characterization of is given.Keywords: skew Jordan derivable map-derivationvon Neumann algebraAMS Subject Classifications: 47B4946L10 NotesNo potential conflict of interest was reported by the author.Additional informationFundingThis research was supported by the National Natural Science Foundation of China [grant number 11402199], [grant number 11426176].