Abstract and Applied Analysis
Volume 2007 (2007), Article ID 85737, 14 pages
doi:10.1155/2007/85737
Isomorphisms and Derivations in Lie C*-Algebras
Choonkil Park1
, Jong Su An2
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
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).