Approximate ternary Jordan homomorphisms on banach ternary algebras

Gordji, Madjid Eshaghi; Ghobadipour, Norouz; Ebadian, Ali; Bavand, Savadkouhi M; Park, Choon kil

doi:10.1007/978-1-4614-3498-6_17

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Approximate ternary Jordan homomorphisms on banach ternary algebras

Gordji, Madjid Eshaghi;
Ghobadipour, Norouz;
Ebadian, Ali;
Bavand, Savadkouhi M;
Park, Choon kil

Citations

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0

초록

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).

키워드

Banach ternary algebra; Functional equation; Generalized Hyers-Ulam stability; Ternary Jordan homomorphism

제목: Approximate ternary Jordan homomorphisms on banach ternary algebras

저자: Gordji, Madjid Eshaghi; Ghobadipour, Norouz; Ebadian, Ali; Bavand, Savadkouhi M; Park, Choon kil

DOI: 10.1007/978-1-4614-3498-6_17

발행일: 2012-06

유형: Book Chapter

저널명: Springer Optimization and Its Applications

권: 68

페이지: 305 ~ 315