A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm

Adam Bohonos, and Ryszard Płuciennik. "A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm." Banach Center Publications 92.1 (2011): 37-44. <http://eudml.org/doc/281979>.

@article{AdamBohonos2011,
abstract = {There are necessary conditions for a point x from the unit sphere to be a denting point of the unit ball of Orlicz spaces equipped with the Orlicz norm generated by arbitrary Orlicz functions. In contrast to results in [12, 17, 16], we present also examples of Orlicz spaces in which strongly extreme points of the unit ball are not denting points.},
author = {Adam Bohonos, Ryszard Płuciennik},
journal = {Banach Center Publications},
keywords = {extreme point; strongly extreme point; denting point; Orlicz space; Orlicz norm; interpolation space},
language = {eng},
number = {1},
pages = {37-44},
title = {A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm},
url = {http://eudml.org/doc/281979},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Adam Bohonos
AU - Ryszard Płuciennik
TI - A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 37
EP - 44
AB - There are necessary conditions for a point x from the unit sphere to be a denting point of the unit ball of Orlicz spaces equipped with the Orlicz norm generated by arbitrary Orlicz functions. In contrast to results in [12, 17, 16], we present also examples of Orlicz spaces in which strongly extreme points of the unit ball are not denting points.
LA - eng
KW - extreme point; strongly extreme point; denting point; Orlicz space; Orlicz norm; interpolation space
UR - http://eudml.org/doc/281979
ER -