On the Banach-Steinhaus theorem and the closed graph theorem in the context of topological modules (Q2709956)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Banach-Steinhaus theorem and the closed graph theorem in the context of topological modules |
scientific article |
Statements
13 January 2003
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Banach-Steinhaus theorem
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closed graphs theorem
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topological modules
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barrelled module
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infra-\(s\)-modules
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On the Banach-Steinhaus theorem and the closed graph theorem in the context of topological modules (English)
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L'A. s'intéresse aux modules topologiques en dehors de toute notion de convexité; il est, ainsi, conduit, moyennant des hypothèses simples, à des résultats analogues aux théorèmes de Banach-Steinhaus et du graphe fermé, par l'intermédiaire de modules voisins des modules tonnelés classiques. Il porte, en particulier, son attention sur les infra-\(s\)-modules. Mais pour toutes ces questions il aurait, sans doute, intérêt à consulter les travaux de M. Mohamed Aamri et de ses collaborateurs.
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