Faculty Publications
A Grothendieck Compactness Principle For The Mackey Dual Topology
Document Type
Article
Keywords
The Mackey topology, Weak compactness
Journal/Book/Conference Title
Journal of Mathematical Analysis and Applications
Volume
410
Issue
1
First Page
483
Last Page
486
Abstract
Grothendieck [6] proved that every norm compact subset of a Banach space is contained in the closed convex hull of a norm null sequence. In a recent paper [3], an analogous result for weak compactness in a Banach space is shown to be equivalent to the Schur property. In this article, we obtain a similar type result in the Mackey dual of a Banach space. A related result for weak*; compactness is also obtained. © 2013 Elsevier Inc.
Department
Department of Mathematics
Original Publication Date
2-1-2014
DOI of published version
10.1016/j.jmaa.2013.08.050
Recommended Citation
Dowling, P. N. and Mupasiri, D., "A Grothendieck Compactness Principle For The Mackey Dual Topology" (2014). Faculty Publications. 1407.
https://scholarworks.uni.edu/facpub/1407
