International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 521-524
Webbed spaces, double sequences, and the Macke convergence condition
Instituto de Matemáticas, U.N.A.M., Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico
Received 28 April 1998
Copyright © 1999 Armando García-Martínez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In , 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.