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.
Department of Mathematics
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.