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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.

A note on ( g D F ) -spaces.

del-Vecchio, Renata R., Pombo, Dinamérico P. jun., Vinagre, Cybele T. M. (2000)

International Journal of Mathematics and Mathematical Sciences

A rigid space admitting compact operators

Paul Sisson (1995)

Studia Mathematica

A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid spaces was...

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