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Ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations for a generalized Cauchy-Jensen functional equation
- Title
- Ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations for a generalized Cauchy-Jensen functional equation
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; C*-ternary algebra; Cauchy-Jensen functional equation; Ternary Jordan C*-homomorphism; Ternary Jordan C*-derivation.
- Issue Date
- 2014-12
- Publisher
- EUDOXUS PRESS
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17(4), P.681-690
- Abstract
- 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.
- ISSN
- 1521-1398; 1572-9206
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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