A note on nonfragmentability of Banach spaces

S. Alireza Kamel Mirmostafaee

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-6

Abstract:

We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdorff space X with the tree-completeness property contains a disjoint sequences of clopen sets, then ( C ( X ) , weak) is not fragmented by any metric which is stronger than weak topology. In particular, C ( X ) does not admit any equivalent locally uniformly convex renorming.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:674640

DOI: 10.1155/S0161171201005075

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