%0 Journal Article
%T Proper \(CQ^*\)-ternary algebras
%A Park, Choonkil
%J Journal of Nonlinear Sciences and Applications
%D 2014
%V 7
%N 4
%@ ISSN 2008-1901
%F Park2014
%X In this paper, modifying the construction of a \(C^*\)-ternary algebra from a given \(C^*\)-algebra, we define a
proper \(CQ^*\)-ternary algebra from a given proper \(CQ^*\)-algebra.
We investigate homomorphisms in proper \(CQ^*\)-ternary algebras and derivations on proper \(CQ^*\)-ternary
algebras associated with the Cauchy functional inequality
\[\|f(x) + f(y) + f(z)\| \leq\| f(x + y + z)\|.\]
We moreover prove the Hyers-Ulam stability of homomorphisms in proper \(CQ^*\)-ternary algebras and of
derivations on proper \(CQ^*\)-ternary algebras associated with the Cauchy functional equation
\[f(x + y + z) = f(x) + f(y) + f(z).\]
%9 journal article
%R 10.22436/jnsa.007.04.06
%U http://dx.doi.org/10.22436/jnsa.007.04.06
%P 278--287