On weakly locally uniformly rotund norms which are not locally uniformly rotund
Volume 138 / 2015
Colloquium Mathematicum 138 (2015), 241-246
MSC: 46B03, 46B20.
DOI: 10.4064/cm138-2-8
Abstract
We show that every infinite-dimensional Banach space with separable dual admits an equivalent norm which is weakly locally uniformly rotund but not locally uniformly rotund.