Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method

Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on non-Archimedean C∗-algebras and Non-Archimedean Lie C∗-algebras for an m-variable additive functional equation.

Bibliographic Details
Main Authors: Yeol Je Cho, Reza Saadati, Javad Vahidi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/373904
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spelling doaj-4ee05e1c8c8e4e39a6a8eef012a8896c2020-11-24T23:22:30ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/373904373904Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point MethodYeol Je Cho0Reza Saadati1Javad Vahidi2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Iran University of Science and Technology, Tehran, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran, IranUsing fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on non-Archimedean C∗-algebras and Non-Archimedean Lie C∗-algebras for an m-variable additive functional equation.http://dx.doi.org/10.1155/2012/373904
collection DOAJ
language English
format Article
sources DOAJ
author Yeol Je Cho
Reza Saadati
Javad Vahidi
spellingShingle Yeol Je Cho
Reza Saadati
Javad Vahidi
Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
Discrete Dynamics in Nature and Society
author_facet Yeol Je Cho
Reza Saadati
Javad Vahidi
author_sort Yeol Je Cho
title Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
title_short Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
title_full Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
title_fullStr Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
title_full_unstemmed Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method
title_sort approximation of homomorphisms and derivations on non-archimedean lie c∗-algebras via fixed point method
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2012-01-01
description Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on non-Archimedean C∗-algebras and Non-Archimedean Lie C∗-algebras for an m-variable additive functional equation.
url http://dx.doi.org/10.1155/2012/373904
work_keys_str_mv AT yeoljecho approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod
AT rezasaadati approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod
AT javadvahidi approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod
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