Abstract and Applied Analysis
Volume 2009 (2009), Article ID 612392, 16 pages
doi:10.1155/2009/612392
Homomorphisms and Derivations in C∗-Ternary Algebras
Abbas Najati1
, Choonkil Park2
and Jung Rye Lee3
1Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
2Department of Mathematics, Hanyang University, Seoul 133-791, South Korea
3Department of Mathematics, Daejin University, Kyeonggi 487-711, South Korea
Abstract
In 2006, C. Park proved the stability of homomorphisms in C∗-ternary algebras and of derivations on C∗-ternary algebras for the following generalized Cauchy-Jensen additive mapping: 2f((∑j=1pxj/2)+∑j=1dyj)=∑j=1pf(xj)+2∑j=1df(yj). In this note, we improve and generalize some results concerning this functional equation.