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

Authors
Shin, Dong YunPark, ChoonkilFarhadabadi, Shahrokh
Issue Date
Dec-2014
Publisher
EUDOXUS PRESS, LLC
Keywords
Hyers-Ulam stability; C*-ternary algebra; Cauchy-Jensen functional equation; Ternary Jordan C*-homomorphism; Ternary Jordan C*-derivation.
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.17, no.4, pp.681 - 690
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Volume
17
Number
4
Start Page
681
End Page
690
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143928
ISSN
1521-1398
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.
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