The Uniform Boundedness Theorem in Asymmetric Normed Spaces

We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.

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Main Authors: C. Alegre, S. Romaguera, P. Veeramani
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/809626
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author C. Alegre
S. Romaguera
P. Veeramani
author_facet C. Alegre
S. Romaguera
P. Veeramani
author_sort C. Alegre
collection DOAJ
description We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.
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spelling doaj-art-fb67410b91bd499eaa1e00f75a4a3dcf2025-02-03T01:28:49ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/809626809626The Uniform Boundedness Theorem in Asymmetric Normed SpacesC. Alegre0S. Romaguera1P. Veeramani2Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, SpainInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, SpainDepartment of Mathematics, Indian Institute of Technology Madras, Chennai 6000 36, IndiaWe obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.http://dx.doi.org/10.1155/2012/809626
spellingShingle C. Alegre
S. Romaguera
P. Veeramani
The Uniform Boundedness Theorem in Asymmetric Normed Spaces
Abstract and Applied Analysis
title The Uniform Boundedness Theorem in Asymmetric Normed Spaces
title_full The Uniform Boundedness Theorem in Asymmetric Normed Spaces
title_fullStr The Uniform Boundedness Theorem in Asymmetric Normed Spaces
title_full_unstemmed The Uniform Boundedness Theorem in Asymmetric Normed Spaces
title_short The Uniform Boundedness Theorem in Asymmetric Normed Spaces
title_sort uniform boundedness theorem in asymmetric normed spaces
url http://dx.doi.org/10.1155/2012/809626
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