TY - JOUR
AU - Park, Choonkil
PY - 2014
TI - Proper \(CQ^*\)-ternary algebras
JO - Journal of Nonlinear Sciences and Applications
SP - 278--287
VL - 7
IS - 4
AB - 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
\[f(x + y + z) = f(x) + f(y) + f(z).\]
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.007.04.06
DO - 10.22436/jnsa.007.04.06
ID - Park2014
ER -