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Cited 60 time in webofscience Cited 85 time in scopus
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On the superstability of ternary Jordan C*-homomorphisms

Authors
Shin, Dong YunPark, ChoonkilFarhadabadi, 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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