Abstract and Applied Analysis 
Volume 2007 (2007), Article ID 85737, 14 pages
doi:10.1155/2007/85737
Research Article

Isomorphisms and Derivations in Lie C*-Algebras

Choonkil Park,1 Jong Su An,2 and Jianlian Cui3

 1Department of Mathematics, Hanyang University, Seoul 133–791, South Korea
2Department of Mathematics Education, Pusan National University, Pusan 609–735, South Korea
3Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Received 7 May 2007; Revised 10 July 2007; Accepted 13 July 2007

Recommended by John Michael Rassias

Abstract

We investigate isomorphisms between C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the Cauchy–Jensen functional equation 2f((x+y/2)+z)=f(x)+f(y)+2f(z).