International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 25, Pages 1343-1346
On non-midpoint locally uniformly rotund normability in Banach
Department of Mathematics, Damghan University of Sciences, P.O. Box 36715-364, Damghan, Iran
Received 21 May 2002
Copyright © 2004 A. K. Mirmostafaee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We will show that if is a tree-complete subspace of
, which contains , then it does not
admit any weakly midpoint locally uniformly convex
renorming. It follows that such a space has no
equivalent Kadec renorming.