Homomorphisms and Derivations in Lie JC*-Algebras

Javad Shokri, Ali Ebadian, Rasoul Aghalary

Abstract

We investigate isomorphisms between   $JC^*$-algebras, homomorphisms between Lie $JC^*$-algebras and derivations on Lie $JC^*$-algebras associated with the functional inequality $\|f(\frac{x-y}{2}+z)-f(x)-2f(z)\|\leqslant \|f(\frac{x+y}{2}+z)\|. $