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GENERALIZED JORDAN HOMOMORPHISMS IN FRECHET ALGEBRAS
- Issue Date
- Feb-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; generalized homomorphism; generalized Jordan homomorphism; Frechet algebra
- Citation
- Journal of Computational Analysis and Applications, v.16, no.2, pp 391 - 401
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 16
- Number
- 2
- Start Page
- 391
- End Page
- 401
- ISSN
- 1521-1398
1572-9206
- Abstract
- A linear mapping h : A -> B is called a generalized Jordan homomorphism if there exists a homomorphism h' : A -> B such that h(a(2)) = h(a)'h(a) for all a is an element of A. In this paper, we investigate generalized Jordan homomorphisms in Frechet algebras, associated with the following functional equation f(a+b)/2 + f(a-b)/2 = f (a). Moreover, we prove the Hyers-Ulam stability of generalized Jordan homomorphisms in Prechet algebras.
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