On the superstability of ternary Jordan C*-homomorphisms
- Authors
- Shin, Dong Yun; Park, Choonkil; Farhadabadi, Shahrokh
- Issue Date
- Jul-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- Superstability; Hyers-Ulam stability; Cauchy-Jensen functional equation; Ternary Jordan C*-homomorphism
- Citation
- Journal of Computational Analysis and Applications, v.16, no.5, pp 964 - 973
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 16
- Number
- 5
- Start Page
- 964
- End Page
- 973
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144600
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we prove the superstability of ternary Jordan C*-homomorphisms associated with the following Cauchy-Jensen functional equation: f (x + y/2 + z) + f (x+z/2 + y) + f (y+z/2 +x) = 2[f(x) + f(y) + f(z)] (1) and the Hyers-Ulam stability of ternary Jordan C*-homomorphisms associated with the following generalized Cauchy-Jensen functional equation: Sigma(p)(i=1) f (1/p - 1 Sigma(p)(j=1j not equal i) x(j) + x(i)) = 2 Sigma(p)(i=1) f(x(i)). (2)
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