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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Format: | Article |
Language: | English |
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Wiley
2007-01-01
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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 |
id | doaj-art-222eaebf9b3b40ad8411db47e026f6f4 |
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 |