Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras...
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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2010/393247 |
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author | Madjid Eshaghi Gordji |
author_facet | Madjid Eshaghi Gordji |
author_sort | Madjid Eshaghi Gordji |
collection | DOAJ |
description | We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity. |
format | Article |
id | doaj-art-12183d2df84b426dbfb785cf6e2809fc |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-12183d2df84b426dbfb785cf6e2809fc2025-02-03T01:27:30ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/393247393247Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach AlgebrasMadjid Eshaghi Gordji0Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranWe prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity.http://dx.doi.org/10.1155/2010/393247 |
spellingShingle | Madjid Eshaghi Gordji Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras Abstract and Applied Analysis |
title | Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras |
title_full | Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras |
title_fullStr | Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras |
title_full_unstemmed | Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras |
title_short | Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras |
title_sort | nearly ring homomorphisms and nearly ring derivations on non archimedean banach algebras |
url | http://dx.doi.org/10.1155/2010/393247 |
work_keys_str_mv | AT madjideshaghigordji nearlyringhomomorphismsandnearlyringderivationsonnonarchimedeanbanachalgebras |