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Abstract
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Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 809232, 14 pages
doi:10.1155/2009/809232

Fixed Points and Stability of the Cauchy Functional Equation in C∗-Algebras

Choonkil Park

Department of Mathematics, Hanyang University, Seoul 133-791, South Korea

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for the Cauchy functional equation.