On non-midpoint locally uniformly rotund normability in Banach spaces (Q1774752)

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scientific article; zbMATH DE number 2168686
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On non-midpoint locally uniformly rotund normability in Banach spaces
scientific article; zbMATH DE number 2168686

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    On non-midpoint locally uniformly rotund normability in Banach spaces (English)
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    18 May 2005
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    Summary: We will show that if \(X\) is a tree-complete subspace of \(\ell_\infty\) 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.
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