Webbed spaces, double sequences, and the Mackey convergence condition (Q1587808)
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scientific article; zbMATH DE number 1538440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Webbed spaces, double sequences, and the Mackey convergence condition |
scientific article; zbMATH DE number 1538440 |
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Webbed spaces, double sequences, and the Mackey convergence condition (English)
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28 February 2001
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Summary: In [J. Math. Sci. 11, No. 3, 473-483 (1988; Zbl 0664.46003)], \textit{T. E. Gilsdorf} proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are double sequences and the localization theorem for webbed spaces.
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compatible web
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Mackey convergent sequence
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sequential double sequence
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sequentially webbed space
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Mackey convergence condition
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double sequences
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localization theorem
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