Webbed spaces, double sequences, and the Mackey convergence condition
type: Item
instance of: scholarly article
title: Webbed spaces, double sequences, and the Mackey convergence condition
zbMATH Open document ID: 0968.46003
DOI: 10.1155/S0161171299225215
author: Armando García-Martínez
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-02-28T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46A16
Mathematics Subject Classification ID: 46A17
Mathematics Subject Classification ID: 46A30
zbMATH DE Number: 1538440
zbMATH Keywords: compatible web
zbMATH Keywords: Mackey convergent sequence
zbMATH Keywords: sequential double sequence
zbMATH Keywords: sequentially webbed space
zbMATH Keywords: Mackey convergence condition
zbMATH Keywords: double sequences
zbMATH Keywords: localization theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1538440