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- W4253553583 abstract "A locally convex space E is said to be $omega$-barrelled if every countable $mathrm {weak}^*$ bounded subset of its topological dual $Eâ$ is equicontinuous; to have property (C) if every $mathrm {weak}^*$ bounded subset of $Eâ$ is relatively $mathrm {weak}^*$ compact; to have property (S) if $Eâ$ is $mathrm {weak}^*$ sequentially complete. If a locally convex space possesses any of the above properties, then so do all of its linear subspaces of countable codimension. Examples are furnished to show that the mentioned properties are distinct from each other." @default.
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- W4253553583 date "1971-06-01" @default.
- W4253553583 modified "2023-10-16" @default.
- W4253553583 title "A Note on the Inheritance of Properties of Locally Convex Spaces by Subspaces of Countable Codimension" @default.
- W4253553583 doi "https://doi.org/10.2307/2037679" @default.
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