The Mackey convergence condition for spaces with webs
type: Item
instance of: scholarly article
title: The Mackey convergence condition for spaces with webs
zbMATH Open document ID: 0664.46003
DOI: 10.1155/S0161171288000559
author: Thomas E. Gilsdorf
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46350
review text: A locally convex space satisfies the Mackey convergence condition if every convergent sequence therein is Mackey convergent. The author related this condition to the existence of webs as defined by W. Robertson. More precisely, he uses the concepts of sequentially webbed resp. strictly webbed spaces to show a) that a sequentially webbed space satisfies the Mackey convergence condition and b) that a fast complete, strictly webbed space which satisfies the Mackey convergence condition is sequentially webbed.
Mathematics Subject Classification ID: 46A30
zbMATH DE Number: 4086278
zbMATH Keywords: Mackey convergence condition
zbMATH Keywords: existence of webs
zbMATH Keywords: strictly webbed spaces
zbMATH Keywords: sequentially webbed space
zbMATH Keywords: fast complete
reviewed by: James B. Cooper
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4086278