A remark on the Hyers-Ulam-Rassias stability of n-Jordan *-homomorphisms on C^*-algebras

In the Hyers-Ulam-Rassias stability depending on the type of the function whose stability we want to verify a suitable functional equation is used. The authors in [۶] want to investigate the Hyers-Ulam-Rassias stability of n-Jordan C^*-homomorphisms on C^*-algebras, but they used a quadratic functional equation while we know that the homomorphisms are linear on C^*-algebras. In this paper, we correct the main results of  [۶]  by removing the quadratic functional equation and replacing the linear one and removing some extra conditions. We also show that by using some other multi-variable linear functional equations, the estimation becomes better and more accurate.

کلیدواژه ها:

Hyers-Ulam-Rassias stability ، n-jordan C^*-homomorphism ، n-jordan homomorphism ، C^*-algebra