Asymptotic aspect of derivations in Banach algebras

We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear...

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Detalles Bibliográficos
Autores principales: Roh, Jaiok, Chang, Ick-Soon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306381/
https://www.ncbi.nlm.nih.gov/pubmed/28250691
http://dx.doi.org/10.1186/s13660-017-1308-0
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author Roh, Jaiok
Chang, Ick-Soon
author_facet Roh, Jaiok
Chang, Ick-Soon
author_sort Roh, Jaiok
collection PubMed
description We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear derivation and their stability. We finally take central linear derivations with radical ranges on semiprime Banach algebras and a continuous linear generalized left derivation on a semisimple Banach algebra.
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spelling pubmed-53063812017-02-27 Asymptotic aspect of derivations in Banach algebras Roh, Jaiok Chang, Ick-Soon J Inequal Appl Research We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear derivation and their stability. We finally take central linear derivations with radical ranges on semiprime Banach algebras and a continuous linear generalized left derivation on a semisimple Banach algebra. Springer International Publishing 2017-02-06 2017 /pmc/articles/PMC5306381/ /pubmed/28250691 http://dx.doi.org/10.1186/s13660-017-1308-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Roh, Jaiok
Chang, Ick-Soon
Asymptotic aspect of derivations in Banach algebras
title Asymptotic aspect of derivations in Banach algebras
title_full Asymptotic aspect of derivations in Banach algebras
title_fullStr Asymptotic aspect of derivations in Banach algebras
title_full_unstemmed Asymptotic aspect of derivations in Banach algebras
title_short Asymptotic aspect of derivations in Banach algebras
title_sort asymptotic aspect of derivations in banach algebras
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306381/
https://www.ncbi.nlm.nih.gov/pubmed/28250691
http://dx.doi.org/10.1186/s13660-017-1308-0
work_keys_str_mv AT rohjaiok asymptoticaspectofderivationsinbanachalgebras
AT changicksoon asymptoticaspectofderivationsinbanachalgebras

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