A note on nonlinear mixed Jordan triple derivation on *-algebras
Nadeem ur Rehman, Junaid Nisar, Mohd Nazim
Abstract
Let A be a unital *-algebra containing a non-trivial projection. In this paper, it is shown that a map Γ: A → A such that Γ(U°V•W)=Γ(U)°V•W+U°Γ(V)•W+U°V•Γ(W) for all U,V,W∈A. Then Γ is an additive *-derivation.
Topics & Concepts
MathematicsUnitalProjection (relational algebra)Pure mathematicsDerivationAlgebra over a fieldNonlinear systemCombinatoricsAlgorithmPhysicsArterySurgeryMedicineQuantum mechanicsAdvanced Topics in AlgebraHolomorphic and Operator TheoryAdvanced Operator Algebra Research