Homomorphisms and Derivations in C*-Algebras

Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+...

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Main Authors: Choonkil Park, Abbas Najati
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2007/80630
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author Choonkil Park
Abbas Najati
author_facet Choonkil Park
Abbas Najati
author_sort Choonkil Park
collection DOAJ
description Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+f(z−y)+(1/2)f(x+y)=2f(z−(x+y)/4).
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2007-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-222eaebf9b3b40ad8411db47e026f6f42025-02-03T01:01:07ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/8063080630Homomorphisms and Derivations in C*-AlgebrasChoonkil Park0Abbas Najati1Department of Mathematics, Hanyang University, Seoul 133–791, South KoreaDepartment of Science, University of Mohaghegh Ardebili, Ardebil 51664, IranUsing the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f(z−x)+f(z−y)+(1/2)f(x+y)=2f(z−(x+y)/4).http://dx.doi.org/10.1155/2007/80630
spellingShingle Choonkil Park
Abbas Najati
Homomorphisms and Derivations in C*-Algebras
Abstract and Applied Analysis
title Homomorphisms and Derivations in C*-Algebras
title_full Homomorphisms and Derivations in C*-Algebras
title_fullStr Homomorphisms and Derivations in C*-Algebras
title_full_unstemmed Homomorphisms and Derivations in C*-Algebras
title_short Homomorphisms and Derivations in C*-Algebras
title_sort homomorphisms and derivations in c algebras
url http://dx.doi.org/10.1155/2007/80630
work_keys_str_mv AT choonkilpark homomorphismsandderivationsincalgebras
AT abbasnajati homomorphismsandderivationsincalgebras