Advances in Difference Equations

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Stability of the Jensen equation in C*-algebras: a fixed point approach

Hassan A Kenary1, Hamid Rezaei1, Saedeh Talebzadeh2 and Choonkil Park3*

Author Affiliations

1 Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran

2 Department of Mathematics, Islamic Azad University, Firoozabad Branch, Firoozabad, Iran

3 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea

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Advances in Difference Equations 2012, 2012:17 doi:10.1186/1687-1847-2012-17

Published: 21 February 2012

Abstract

Using fixed point method, we prove the Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for the Jensen equation.

2010 Mathematics Subject Classification: 39B82; 47H10; 46L05; 39B52.

Keywords:
Jensen equation; Hyers-Ulam stability; C*-algebras; fixed point method