Nonlinear mixed skew Jordan-Lie-type higher derivations on *-algebras

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Abstract

The notion of a nonlinear mixed skew Jordan-Lie-type higher derivation on unital *-algebras is introduced, which combines the skew Jordan product with skew Lie-type higher derivations. Under conditions satisfied by prime *-algebras, factor von Neumann algebras, and standard operator algebras, it is proved that every nonlinear mixed skew Jordan-Lie-type higher derivation on a unital *-algebra is an additive higher *-derivation.

Keywords

skew Jordan product / skew Lie product / *-algebra / higher derivation / *-derivation

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