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Reflexivitât und Schauder Basen vom Typ p und p in Lokalkonvexen Râumen

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Abstract

In the present paper the following theorem is proved: Let E be a barrelled locally convex space with a Schauder base of type P or P. Then E is normable.

In continuation of the investigations of singer [8] and Retherford [5] we obtain by the above result a characterization of the reflexivity of a locally convex space with a base in terms of the behaviour of its subspaces.

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Mertins, U. Reflexivitât und Schauder Basen vom Typ p und p in Lokalkonvexen Râumen. Manuscripta Math 5, 147–153 (1971). https://doi.org/10.1007/BF01325024

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  • DOI: https://doi.org/10.1007/BF01325024

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