International Journal of Mathematics and Mathematical Sciences 
Volume 14 (1991), Issue 2, Pages 215-219
doi:10.1155/S0161171291000224

Banach-Mackey spaces

Jing Hui Qiu1 and Kelly McKennon2

 1Department of Mathematics, University of Suzhou, Jiang Su Province, Suzhou, China
2Department of Mathematics, Washington State University, Pullman, Washington, USA
Received 26 February 1990

Abstract

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.