International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 2, Pages 215-219
1Department of Mathematics, University of Suzhou, Jiang Su Province, Suzhou, China
2Department of Mathematics, Washington State University, Pullman, Washington, USA
Received 26 February 1990
Copyright © 1991 Jing Hui Qiu and Kelly McKennon. 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 recent publications the concepts of fast completeness and local
barreledness have been shown to be related to the property of all weak- bounded
subsets of the dual (of a locally convex space) being strongly bounded. In this paper
we clarify those relationships, as well as giving several different characterizations
of this property.