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Approximate ternary Jordan homomorphisms on banach ternary algebras
- Authors
- Gordji, Madjid Eshaghi; Ghobadipour, Norouz; Ebadian, Ali; Bavand, Savadkouhi M; Park, Choon kil
- Issue Date
- Jun-2012
- Publisher
- Springer International Publishing AG
- Keywords
- Banach ternary algebra; Functional equation; Generalized Hyers-Ulam stability; Ternary Jordan homomorphism
- Citation
- Springer Optimization and Its Applications, v.68, pp 305 - 315
- Pages
- 11
- Indexed
- SCOPUS
- Journal Title
- Springer Optimization and Its Applications
- Volume
- 68
- Start Page
- 305
- End Page
- 315
- ISSN
- 1931-6828
1931-6836
- Abstract
- Let A and B be two Banach ternary algebras over ℝ or ℂ. A linear mapping H: (A,[]A) → (B,[]B) is called a ternary Jordan homomorphism if H([xxx]A) = [H(x)H(x)H(x)]B for all x ∈ A. In this paper, we investigate ternary Jordan homomorphisms on Banach ternary algebras, associated with the following functional equation (Formula Presented).
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