Dual valued quadratic derivable maps on C*-algebras

چکیده مقاله

We study mappings T from a unital C*-algebra A into its dual space,A*, which satisfy the ternary derivation identity with respect to the quadratic Jordan product. We prove that whenever A admits a projection p that is Murray--von Neumann equivalent to 1-p, such mappings are automatically additive and conjugate homogeneous over Q+iQ, and they become ternary derivations when they are continuous.