Ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations for a generalized Cauchy-Jensen functional equation

Shin, Dong Yun; Park, Choonkil; Farhadabadi, Shahrokh

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Ternary Jordan C-homomorphisms and ternary Jordan C-derivations for a generalized Cauchy-Jensen functional equation

Shin, Dong Yun;
Park, Choonkil;
Farhadabadi, Shahrokh

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초록

In this paper, we prove the Hyers-Ulam stability of ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations associated with the following generalized Cauchy-Jensen functional equation: (p)Sigma(i)=f (1/k (p)Sigma(j=1j not equal 1) x(j) + x(i)) = p + k - 1/k (p)Sigma(i=1) f(x(i)) by proving the generalization of Gavruta's theorem.

키워드

Hyers-Ulam stability; C*-ternary algebra; Cauchy-Jensen functional equation; Ternary Jordan C*-homomorphism; Ternary Jordan C*-derivation.; STABILITY; MAPPINGS

제목: Ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations for a generalized Cauchy-Jensen functional equation

저자: Shin, Dong Yun; Park, Choonkil; Farhadabadi, Shahrokh

발행일: 2014-12

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 17

호: 4

페이지: 681 ~ 690