Stability of homomorphisms and derivations in $C^*$-ternary algebras

Abstract

In this paper, we investigate homomorphisms between C * -ternary algebras and derivations on C * -ternary algebras, associated with the following functional equationMoreover, we prove the generalized Hyers-Ulam -Rassias stability of homomorphisms in C * -ternary algebras and of derivations on C * -ternary algebras.