On weakly locally uniformly rotund norms which are not locally uniformly rotund

Szymon Draga

Colloquium Mathematicae (2015)

  • Volume: 138, Issue: 2, page 241-246
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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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 -

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