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On non-midpoint locally uniformly rotund normability in Banach spaces

A. K. Mirmostafaee

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-4

Abstract:

We will show that if X is a tree-complete subspace of ℓ ∞ , which contains c 0 , then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:747656

DOI: 10.1155/S0161171204205117

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