%0 Journal Article
%T A remark on the Hyers-Ulam-Rassias stability of $n$-Jordan $*$-homomorphisms on $C^*$-algebras
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Nikoufar, Ismail
%D 2024
%\ 04/01/2024
%V 15
%N 4
%P 1-9
%! A remark on the Hyers-Ulam-Rassias stability of $n$-Jordan $*$-homomorphisms on $C^*$-algebras
%K Hyers-Ulam-Rassias stability
%K $n$-jordan $C^*$-homomorphism
%K $n$-jordan homomorphism
%K $C^*$-algebra
%R 10.22075/ijnaa.2023.29835.4272
%X 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 [6] 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 [6] 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.
%U https://ijnaa.semnan.ac.ir/article_7755_e695fbfbd2c08b4d94b4c6ddda439536.pdf