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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 25-28, Pages 1343-1346
doi:10.1155/S0161171204205117

On non-midpoint locally uniformly rotund normability in Banach spaces

A.K. Mirmostafaee

Department of Mathematics, Damghan University of Sciences, P.O. Box 36715-364, Damghan, Iran

Abstract

We will show that if X is a tree-complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.