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Erschienen in:
1984 | OriginalPaper | Buchkapitel
The Eberlein-Šmulian Theorem
verfasst von : Joseph Diestel
Erschienen in: Sequences and Series in Banach Spaces
Verlag: Springer New York
Enthalten in: Professional Book Archive
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We saw in the previous chapter that regardless of the normed linear space X, weak* closed, bounded sets in X* are weak* compact. How does a subset K of a Banach space X get to be weakly compact? The two are related. Before investigating their relationship, we look at a couple of necessary ingredients for weak compactness and take a close look at two illustrative nonweakly compact sets.