Abstract
In this paper, we prove the Hyers–Ulam–Rassias stability of C ∗-algebra homomorphisms and of generalized derivations on C ∗-algebras for the following Cauchy–Jensen functional equation: Open image in new window The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, 1978.
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