On the BAP in Fréchet Schwartz Spaces and Their Duals.
J.M.F. Castillo (1988)
Monatshefte für Mathematik
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Displaying similar documents to “The Density Condition in Subspaces and Quotients of Frechet Spaces.”
On the BAP in Fréchet Schwartz Spaces and Their Duals.
A Twisted Fréchet Space with Basis.
V.B. Moscatelli, G. Metafune (1988)
Monatshefte für Mathematik
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Nuclear Fréchet Spaces with Locally Round Finite Dimensional Decompositions.
Ed Dubinsky, Lasse Holmström (1984)
Monatshefte für Mathematik
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The density condition in quotients of quasinormable Fréchet spaces
Angela Albanese (1997)
Studia Mathematica
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It is proved that a separable Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Dí az in the class of separable Fréchet spaces.
Density conditions in Fréchet and (DF)-spaces.
Klaus-Dieter. Bierstedt, José Bonet (1989)
Revista Matemática de la Universidad Complutense de Madrid
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We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.
Strong Transfinite Version of König's Duality Theorem.
R.A. Brualdi (1971)
Monatshefte für Mathematik
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Remarks on a Paper of Bachelis and Gilbert.
Gerhard Racher (1981)
Monatshefte für Mathematik
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Invariant Density Estimation.
Wolfgang Wertz (1976)
Monatshefte für Mathematik
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The density condition in quotients of quasinormable Fréchet spaces, II.
Angela A. Albanese (1999)
Revista Matemática Complutense
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It is proved that a Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Díaz
Spaces of Seminorms.
W. Riha (1975)
Monatshefte für Mathematik
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A Remark on the Strong Law of Large Numbers.
J. Hüsler (1977)
Monatshefte für Mathematik
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Normisomorphismen und Normkurven endlichdimensionaler projektiver Desargues-Räume.
Hans Havlicek (1983)
Monatshefte für Mathematik
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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.