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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Main Author: Madjid Eshaghi Gordji
Format: Article
Language:English
Published: Wiley 2010-01-01
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.
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institution Kabale University
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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