Displaying similar documents to “Limited spaces”

The non-archimedian space BC(X) with the strict topology.

Nicole De Grande-De Kimpe, Samuel Navarro (1994)

Publicacions Matemàtiques

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Let X be a zero-dimensional, Hausdorff topological space and K a field with non-trivial, non-archimedean valuation under which it is complete. Then BC(X) is the vector space of the bounded continuous functions from X to K. We obtain necessary and sufficient conditions for BC(X), equipped with the strict topology, to be of countable type and to be nuclear in the non-archimedean sense.

Non-archimedean G P -spaces.

De Grande-De Kimpe, N., Perez-Garcia, C. (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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A normability condition on locally convex spaces.

S. Önal, T. Terzioglu (1991)

Revista Matemática de la Universidad Complutense de Madrid

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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).