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A remark on the Hyers-Ulam-Rassias stability of $n$-Jordan $*$-homomorphisms on $C^*$-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 15، شماره 4، تیر 2024، صفحه 1-9 اصل مقاله (376.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29835.4272 | ||
| نویسنده | ||
| Ismail Nikoufar* | ||
| Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| تاریخ دریافت: 17 بهمن 1401، تاریخ بازنگری: 23 بهمن 1401، تاریخ پذیرش: 31 فروردین 1402 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Hyers-Ulam-Rassias stability؛ $n$-jordan $C^*$-homomorphism؛ $n$-jordan homomorphism؛ $C^*$-algebra | ||
| مراجع | ||
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