Jordan derivations of a class of Banach algebras

We show that every continuous Jordan derivation from U to X is a derivation, where U is a ϕ-Johnson amenable Banach algebra in which ϕ is a non-zero multiplicative linear functionals on U, and X is a Banach U-bimodule such that a:x = ϕ(a)x for all a ϵ U, x ϵ X or x:a = ϕ(a)x for all a ϵ U, x ϵ X. Then we apply our results for character amenable Banach algebras and amenable Banach algebras.

کلیدواژه ها:

ϕ-Johnson amenable ، Banach algebras ، Jordan derivation