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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.
Szymon Draga. "On weakly locally uniformly rotund norms which are not locally uniformly rotund." Colloquium Mathematicae 138.2 (2015): 241-246. <http://eudml.org/doc/283532>.
@article{SzymonDraga2015, 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.}, author = {Szymon Draga}, journal = {Colloquium Mathematicae}, keywords = {Asplund spaces; locally uniformly rotund norms; renormings}, language = {eng}, number = {2}, pages = {241-246}, title = {On weakly locally uniformly rotund norms which are not locally uniformly rotund}, url = {http://eudml.org/doc/283532}, volume = {138}, year = {2015}, }
TY - JOUR AU - Szymon Draga TI - On weakly locally uniformly rotund norms which are not locally uniformly rotund JO - Colloquium Mathematicae PY - 2015 VL - 138 IS - 2 SP - 241 EP - 246 AB - 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. LA - eng KW - Asplund spaces; locally uniformly rotund norms; renormings UR - http://eudml.org/doc/283532 ER -