A Grothendieck compactness principle for the Mackey dual topology
The Mackey topology, Weak compactness
Journal of Mathematical Analysis and Applications
Grothendieck  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 , 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.
Original Publication Date
DOI of published version
Dowling, P. N. and Mupasiri, D., "A Grothendieck compactness principle for the Mackey dual topology" (2014). Faculty Publications. 1407.