Webbed spaces, double sequences, and the Macke convergence condition

Armando García-Martínez

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-4

Abstract:

In [3], 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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:176084

DOI: 10.1155/S0161171299225215

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