@Article{Park2014,
author="Choonkil Park",
title="Proper \(CQ^*\)-ternary algebras",
year="2014",
volume="7",
number="4",
pages="278--287",
abstract="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
\[f(x + y + z) = f(x) + f(y) + f(z).\]",
issn="ISSN 2008-1901",
doi="10.22436/jnsa.007.04.06",
url="http://dx.doi.org/10.22436/jnsa.007.04.06"
}