Locally convex spaces for which $\Lambda (E) = \Lambda [E]$ and the Dvoretsky-Rogers theorem

N. de Grande-de Kimpe

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In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989).

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Displaying similar documents to “Locally convex spaces for which Λ ( E ) = Λ [ E ] and the Dvoretsky-Rogers theorem”

Displaying similar documents to “Locally convex spaces for which $Λ (E) = Λ [E]$ and the Dvoretsky-Rogers theorem”