Some results on Fréchet spaces with the density condition (Q808381)
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scientific article; zbMATH DE number 4210817
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on Fréchet spaces with the density condition |
scientific article; zbMATH DE number 4210817 |
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Some results on Fréchet spaces with the density condition (English)
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1992
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This article includes several results about locally convex spaces with the density condition of Heinrich. The first result answers a question of Bonet and Dierolf. Precisely, if E is a Fréchet space such that its bidual \(E''\) has the density condition (DC), then E also has it. The second result shows that the class of (DF)-spaces with the dual density condition (DDC) satisfies the ``three-space-problem''. Some related results are also included.
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locally convex spaces with the density condition of Heinrich
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Fréchet space
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(DF)-spaces with the dual density condition
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three-space-problem
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