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Authors: THEMISTOCLES M. RASSIAS, CHUN-GIL PARK.
of a JC*-algebra 
into a JC*-algebra 
is a homomorphism when 
for all unitaries 
, all 
and all 
, and that every almost linear continuous mapping of a JC*-algebra of real rank zero to a JC*-algebra is a homomorphism when 
for all 
is invertible}, all and all . We moreover prove the Hyers-Ulam stability of homomorphisms in JC*-algebras. This concept of stability of mappingswas introduced for the first time by Th.M. Rassias in his paper [On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300]. 