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

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.

Bibliographic Details
Main Author: Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/809232