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Approximate ternary Jordan homomorphisms on banach ternary algebras

Authors
Gordji, Madjid EshaghiGhobadipour, NorouzEbadian, AliBavand, Savadkouhi MPark, Choon kil
Issue Date
Jun-2012
Publisher
Springer International Publishing
Keywords
Banach ternary algebra; Functional equation; Generalized Hyers-Ulam stability; Ternary Jordan homomorphism
Citation
Springer Optimization and Its Applications, v.68, pp.305 - 315
Indexed
SCOPUS
Journal Title
Springer Optimization and Its Applications
Volume
68
Start Page
305
End Page
315
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/165478
DOI
10.1007/978-1-4614-3498-6_17
ISSN
1931-6828
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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