θ-centralizers on Banach algebras through special products

Assume that U is a Banach algebra with unity ۱, and θ is an continuous automorphism on U. We describe a continuous linear map T : U → U which satisfies:x; y ϵ U; xy = w → θ(x)T(y) = T(x)θ(y) = T(w);where w ≠ ۰ is a left (right) separating point of U.

کلیدواژه ها:

centralizer ، Banach algebras ، separating point