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초록
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.
키워드
Hyers-Ulam stability; generalized homomorphism; generalized Jordan homomorphism; Frechet algebra; QUADRATIC FUNCTIONAL-EQUATION; STABILITY; DERIVATIONS; APPROXIMATE
- 제목
- GENERALIZED JORDAN HOMOMORPHISMS IN FRECHET ALGEBRAS
- 저자
- Gordji, Madjid Eshaghi; Savadkouhi, M. Bavand; Park, Choonkil; Lee, Jung Rye
- 발행일
- 2014-02
- 유형
- Article
- 권
- 16
- 호
- 2
- 페이지
- 391 ~ 401