Some normability conditions on Fréchet spaces.
Tosun Terzioglu, Dietmar Vogt (1989)
Revista Matemática de la Universidad Complutense de Madrid
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We define two new normability conditions on Fréchet spaces and announce some related results.
Displaying similar documents to “Fréchet valued co-echelon spaces”
Some normability conditions on Fréchet spaces.
Some aspects of the modern theory of Fréchet spaces.
Klaus D. Bierstedt, José Bonet (2003)
RACSAM
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We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?. ...
On a problem of P. Montel
J. Krzyż (1962)
Annales Polonici Mathematici
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Fréchet spaces of Moscatelli type.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Each Schwartz Fréchet space is a subspace of a Schwartz Fréchet space with an unconditional basis
Steven F. Bellenot (1980)
Compositio Mathematica
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Inductive duals of distinguished frechet spaces
José Bonet, Susanne Dierolf (1996)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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The purpose of this note is to give an example of a distinguished Fréchet space and a non-distinguished Fréchet space which have the same inductive dual. Accordingly, distinguishedness is a property which is not reflected in the inductive dual. In contrast to this example, it was known that the properties of being quasinormable or having the density condition can be characterized in terms of the inductive dual of a Fréchet space.
On the functors Ext¹(E,F) for Fréchet spaces
Dietmar Vogt (1987)
Studia Mathematica
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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).