A FIXED POINT APPROACH TO THE STABILITY OF DOUBLE JORDAN CENTRALIZERS AND JORDAN MULTIPLIERS ON BANACH ALGEBRAS

Abstract

We say a functional equation (xi) is stable if any function g satisfying the equation (xi) approximately is near to true solution of (xi), moreover, a functional equation (xi) is superstable if any function g satisfying the equation (xi) approximately is a true solution of (xi). In the present paper, we investigate the stability and the superstability of double centralizers and of multipliers on Banach algebras by using the fixed point methods.