Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418802 | Journal of Mathematical Analysis and Applications | 2014 | 4 Pages |
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 weakâ compactness is also obtained.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
P.N. Dowling, D. Mupasiri,