N-JORDAN (*)-HOMOMORPHISMS IN C*-ALGEBRAS

Abstract

In this paper, we investigate n-Jordan (*)-homomorphisms in C*-algebras associated with the following functional inequality parallel to f (b - a/3) + f (a - 3c/3) + f (3a + 3c - b/3)parallel to ˂= parallel to f(a)parallel to. We moreover prove the superstability and the Hyers-Ulam stability of n-Jordan (*)-homomorphisms in C*-algebras associated with the following functional equation f (b -a/3) + f (a - 3c/3) + f (3a + 3c - b/3) = f(a).