Weaker ultrabarrelled topologies on topological vector spaces (Q1074058)
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scientific article; zbMATH DE number 3946876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weaker ultrabarrelled topologies on topological vector spaces |
scientific article; zbMATH DE number 3946876 |
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Weaker ultrabarrelled topologies on topological vector spaces (English)
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1984
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Let (E,\(\eta)\) be a barrelled topological vector space whose completion \((\hat E,{\hat \eta}\)) is B-complete. The main result is a one-one correspondence between the barrelled topologies on E which are coarser than \(\eta\) and the closed subspaces M of \((\hat E,{\hat \eta}\)) with \(M\cap E=\{0\}\). This generalizes a result of \textit{M. De Wilde} and \textit{B. Tsirulnikov} [Manuscr. Math. 33, 411-427 (1981; Zbl 0471.46002)].
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barrelled topological vector space
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B-complete
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