Stability and superstability of J*-homomorphisms and J*-derivations for a generalized Cauchy-Jensen equation
In this paper, we prove the superstability and the Hyers-Ulam stability of J*-homomorphisms and J*-derivations associated with the following generalized Cauchy-Jensen functional equation f(Sigma(p)(i=1) x(i)/p-1) + Sigma(p)(i=1)f (Sigma(p)(j=1j not equal i) x(j) - x(i)/p-1) = Sigma(p)(i=1)f(x(i)). (1)
superstability j*-homomorphism j*-derivation hyers-ulam stability cauchy-jensen functional equation functional inequality j*-algebra