Article ID Journal Published Year Pages File Type
6418802 Journal of Mathematical Analysis and Applications 2014 4 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Analysis
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