On ordered suprabarrelled spaces (Q1109282)
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scientific article; zbMATH DE number 4069551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On ordered suprabarrelled spaces |
scientific article; zbMATH DE number 4069551 |
Statements
On ordered suprabarrelled spaces (English)
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1989
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A locally convex space E is suprabarrelled or barrelled of class 1 (totally barrelled) when given an increasing sequence (sequence) of subspaces of E covering E there is one of them which is Baire-like. A locally convex space E is said barrelled of class 2 or ordered suprabarrelled when given an increasing sequence of subspaces of E covering E there is one of them which is suprabarrelled. In the paper it is proved that the class of ordered suprabarrelled spaces is strictly contained between the classes of suprabarrelled and totally barrelled spaces. Some permanence properties of ordered suprabarrelled spaces are given.
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barrelled of class 1
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barrelled of class 2
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class of ordered suprabarrelled spaces is strictly contained between the class of suprabarrelled and totally barrelled spaces
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permanence properties of ordered suprabarrelled spaces
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