Abstract and Applied Analysis 
Volume 2007 (2007), Article ID 80630, 12 pages
doi:10.1155/2007/80630
Research Article

Homomorphisms and Derivations in C*-Algebras

Choonkil Park1 and Abbas Najati2

 1Department of Mathematics, Hanyang University, Seoul 133–791, South Korea
2Department of Science, University of Mohaghegh Ardebili, Ardebil 51664, Iran
Received 12 February 2007; Revised 7 March 2007; Accepted 12 March 2007

Recommended by Bruce D. Calvert

Abstract

Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+f(z−y)+(1/2)f(x+y)=2f(z−(x+y)/4).