Approximate Cubic ∗-Derivations on Banach ∗-Algebras

We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.

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Main Authors: Seo Yoon Yang, Abasalt Bodaghi, Kamel Ariffin Mohd Atan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/684179
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author Seo Yoon Yang
Abasalt Bodaghi
Kamel Ariffin Mohd Atan
author_facet Seo Yoon Yang
Abasalt Bodaghi
Kamel Ariffin Mohd Atan
author_sort Seo Yoon Yang
collection DOAJ
description We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-88818cf975fc45c89dd869f9b29e212c2025-02-03T01:31:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/684179684179Approximate Cubic ∗-Derivations on Banach ∗-AlgebrasSeo Yoon Yang0Abasalt Bodaghi1Kamel Ariffin Mohd Atan2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, IranInstitute for Mathematical Research, University Putra Malaysia, 43400 Serdang, MalaysiaWe study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.http://dx.doi.org/10.1155/2012/684179
spellingShingle Seo Yoon Yang
Abasalt Bodaghi
Kamel Ariffin Mohd Atan
Approximate Cubic ∗-Derivations on Banach ∗-Algebras
Abstract and Applied Analysis
title Approximate Cubic ∗-Derivations on Banach ∗-Algebras
title_full Approximate Cubic ∗-Derivations on Banach ∗-Algebras
title_fullStr Approximate Cubic ∗-Derivations on Banach ∗-Algebras
title_full_unstemmed Approximate Cubic ∗-Derivations on Banach ∗-Algebras
title_short Approximate Cubic ∗-Derivations on Banach ∗-Algebras
title_sort approximate cubic ∗ derivations on banach ∗ algebras
url http://dx.doi.org/10.1155/2012/684179
work_keys_str_mv AT seoyoonyang approximatecubicderivationsonbanachalgebras
AT abasaltbodaghi approximatecubicderivationsonbanachalgebras
AT kamelariffinmohdatan approximatecubicderivationsonbanachalgebras