On the superstability of ternary Jordan C*-homomorphisms

초록

In this paper, we prove the superstability of ternary Jordan C*-homomorphisms associated with the following Cauchy-Jensen functional equation: f (x + y/2 + z) + f (x+z/2 + y) + f (y+z/2 +x) = 2[f(x) + f(y) + f(z)] (1) and the Hyers-Ulam stability of ternary Jordan C*-homomorphisms associated with the following generalized Cauchy-Jensen functional equation: Sigma(p)(i=1) f (1/p - 1 Sigma(p)(j=1j not equal i) x(j) + x(i)) = 2 Sigma(p)(i=1) f(x(i)). (2)

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