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

نویسندگان
Ghasemi, Khatere ID 1
Jamalzadeh, Javad ID 2
Ghaffary, Shahram ID 3

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

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

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

doi
10.22075/ijnaa.2020.19996.2116
چکیده

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$$ f\left(\frac{ a+b}{2} \right) + f\left( \frac{a-b}{2} \right) =f(a).$$

کلیدواژه‌ها
n-Jordan *-derivation, Frechet locally C-algebra, Frechet algebra, Fixed point method, Hyers-Ulam stability