A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm
Volume 92 / 2011
Banach Center Publications 92 (2011), 37-44 MSC: 46E30, 46B20, 46B42. DOI: 10.4064/bc92-0-3
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.