On countable codimensional subspaces in ultra-(DF) spaces (Q1079146)
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scientific article; zbMATH DE number 3962452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On countable codimensional subspaces in ultra-(DF) spaces |
scientific article; zbMATH DE number 3962452 |
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On countable codimensional subspaces in ultra-(DF) spaces (English)
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1985
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It is proved that a countable codimensional subspace G of an Ultra-(DF) space E is an Ultra-(DF) space provided G has property (b), i.e. for every bounded subset B of E the codimension of G in the linear span of \(G\cup B\) is finite. Moreover, the property of being Ultra-(DF) is also maintained in subspaces of countable codimension, if the initial Ultra- (DF) space is sequentially complete and boundedly summing, or an ultrabarrelled space.
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countable codimensional subspace
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Ultra-(DF) space
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subspaces of countable codimension
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ultrabarrelled space
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