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Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 14، شماره 2، اردیبهشت 2023، صفحه 23-30 اصل مقاله (383.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21584.2276 | ||
| نویسندگان | ||
| Khatere Ghasemi1؛ Shahram Ghaffary1؛ Javad Jamalzadeh* 1؛ Choonkil Park2 | ||
| 1Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran | ||
| 2Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea | ||
| تاریخ دریافت: 24 مهر 1399، تاریخ بازنگری: 21 دی 1399، تاریخ پذیرش: 14 اسفند 1399 | ||
| چکیده | ||
| Using fixed point methods, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-homomorphisms in Fr'echet locally $C^*$-algebras for the generalized Jensen-type functional equation $$r f\left(\frac{ a+b}{ r} \right) + r f\left( \frac{a-b}{r}\right) =2f(a),$$ where $r$ is a fixed real number greater than $1$. | ||
| کلیدواژهها | ||
| n-Jordan ∗-homomorphism؛ Frechet algebra؛ fixed point method؛ Hyers-Ulam stability | ||
| مراجع | ||
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