On The Stability of Conditional Homomorphisms in Lie C*-algebras
Eshaghi M1,2, Abbaszadeh S1* and Manuel De la Sen3
- Corresponding Author:
- Abbaszadeh S
Department of Mathematics
Faculty of Mathematics, Statistics and Computer Sciences
Semnan University, Iran
E-mail: [email protected]
Received date March 24, 2015; Accepted date June 27, 2015; Published date June 30, 2015
Citation: Eshaghi M, Abbaszadeh S, Sen MD (2015) On The Stability of Conditional Homomorphisms in Lie C*-algebras. J Generalized Lie Theory Appl 9: 220. doi:10.4172/1736-4337.1000220
Copyright: © 2015 Eshaghi M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
During the last years several papers studying conditional functional equations have appeared. They mostly deal with equations satisfied on some restricted domain and many among them concern equations postulated for orthogonal vectors. In this paper, we define the conditional homomorphisms with the predecessor defined by γ (x)=γ (y) with an even mapping γ. Then, using a fixed point theorem, we investigate the stability of the conditional homomorphisms in Lie C* -algebras.