Ternary Jordan Homomorphisms in C∗ -Ternary Algebras

Abstract

Abstract. In this note, we prove the Hyers-Ulam-Rassias stability of Jordan homomorphisms in C * −ternary algebras for the following generalized CauchyJensen additive mapping:and generalize some results concerning this functional equation.

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

“…A generalized version of the theorem of Hyers for an approximately linear mapping was given by Rassias [7]. Since then, the stability problems of various functional equations have been extensively investigated by a number of authors (see [8][9][10][11][12][13][14][15][16][17][18][19]). In particular, those of the important functional equations are the following functional equations…”