alexa On The Stability of Conditional Homomorphisms in Lie C*-algebras
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

On The Stability of Conditional Homomorphisms in Lie C*-algebras

Eshaghi M1,2, Abbaszadeh S1* and Manuel De la Sen3

1Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran

2Center of Excellence in Nonlinear Analysis and Applications, Semnan University, Semnan, Iran

3Department of Electricity and Electronics, University of the Basque Country, Spain

Corresponding Author:
Abbaszadeh S
Department of Mathematics
Faculty of Mathematics, Statistics and Computer Sciences
Semnan University, Iran
Tel: 982333366296
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.

 

 

Abstract

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.

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