Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras
نویسندگان
1 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
2 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
3 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
4 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
doi
10.22075/ijnaa.2021.21584.2276چکیده
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 $1$.
