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

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

Choonkil Park

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

Received 8 December 2008; Accepted 9 February 2009

Academic Editor: Tomas Domínguez Benavides

Copyright © 2009 Choonkil Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.