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A normability condition on locally convex spaces.

S. Önal, T. Terzioglu (1991)

Revista Matemática de la Universidad Complutense de Madrid

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).

A note on a theorem of Klee

Jerzy Kąkol (1993)

Commentationes Mathematicae Universitatis Carolinae

It is proved that if E , F are separable quasi-Banach spaces, then E × F contains a dense dual-separating subspace if either E or F has this property.

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