International Journal of Nonlinear Analysis and Applications
Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras
Document Type : Research Paper
Authors
1 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
2 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Abstract
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 $1$.
Keywords
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Volume 14, Issue 2
February 2023Pages 23-30
- Receive Date: 15 October 2020
- Revise Date: 10 January 2021
- Accept Date: 04 March 2021