Diameter 2 properties and convexity

Trond Arnold Abrahamsen, et al. "Diameter 2 properties and convexity." Studia Mathematica 232.3 (2016): 227-242. <http://eudml.org/doc/285696>.

@article{TrondArnoldAbrahamsen2016,
abstract = {We present an equivalent midpoint locally uniformly rotund (MLUR) renorming of C[0,1] with the diameter 2 property (D2P), i.e. every non-empty relatively weakly open subset of the unit ball has diameter 2. An example of an MLUR space with the D2P and with convex combinations of slices of arbitrarily small diameter is also given.},
author = {Trond Arnold Abrahamsen, Petr Hájek, Olav Nygaard, Jarno Talponen, Stanimir Troyanski},
journal = {Studia Mathematica},
keywords = {diameter 2 property; midpoint locally uniformly rotund; daugavet property},
language = {eng},
number = {3},
pages = {227-242},
title = {Diameter 2 properties and convexity},
url = {http://eudml.org/doc/285696},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Trond Arnold Abrahamsen
AU - Petr Hájek
AU - Olav Nygaard
AU - Jarno Talponen
AU - Stanimir Troyanski
TI - Diameter 2 properties and convexity
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 3
SP - 227
EP - 242
AB - We present an equivalent midpoint locally uniformly rotund (MLUR) renorming of C[0,1] with the diameter 2 property (D2P), i.e. every non-empty relatively weakly open subset of the unit ball has diameter 2. An example of an MLUR space with the D2P and with convex combinations of slices of arbitrarily small diameter is also given.
LA - eng
KW - diameter 2 property; midpoint locally uniformly rotund; daugavet property
UR - http://eudml.org/doc/285696
ER -