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Norm fragmented weak\(^*\) compact sets. (English) Zbl 0764.46015

Summary: A Banach space which is a Čech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.

MSC:

46B22 Radon-Nikodým, Kreĭn-Milman and related properties
46B10 Duality and reflexivity in normed linear and Banach spaces
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