The Uniform Boundedness Theorem in Asymmetric Normed Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 Spain English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Alegre, C.; Romaguera, S.; Veeramani, P.;

doi: 10.1155/2012/809626

The Uniform Boundedness Theorem in Asymmetric Normed Spaces

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Abstract

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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Spain

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Keywords

Normed linear spaces and Banach spaces; Banach lattices, Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), asymmetric normed spaces, QA1-939, uniform boundedness type theorem, MATEMATICA APLICADA, Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness), Mathematics

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