Additive (α, β) ‐Jordan derivations on CSL algebras

Abstract

Let L be an CSL algebra. Where α, β are surjective homomorphisms on L. We say that an additive (linear) mapping δ of L into self is called an additive (linear)(α, β) ‐derivation if δ(AB)= δ(A)α(B)+α(A)δ(B) for any A, B∈L. In this paper we show that an additive (α, β) ‐Jordan derivation on a CSL—algebra is an additive (α, β)—derivation.