Abstract and Applied Analysis
Volume 2007 (2007), Article ID 85737, 14 pages
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

Academic Editor: John Michael Rassias

Copyright © 2007 Choonkil Park et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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).