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.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/373904 |
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| _version_ | 1849406039045177344 |
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| author | Yeol Je Cho Reza Saadati Javad Vahidi |
| author_facet | Yeol Je Cho Reza Saadati Javad Vahidi |
| author_sort | Yeol Je Cho |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4ee05e1c8c8e4e39a6a8eef012a8896c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4ee05e1c8c8e4e39a6a8eef012a8896c2025-08-20T03:36:31ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2012/373904 |
| work_keys_str_mv | AT yeoljecho approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod AT rezasaadati approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod AT javadvahidi approximationofhomomorphismsandderivationsonnonarchimedeanliecalgebrasviafixedpointmethod |