n-Jordan *-Derivations in Frechet locally C*-algebras

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation
$$ f\left(\frac{ a+b}{2} \right) + f\left( \frac{a-b}{2} \right) =f(a).$$

Keywords