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

Volume 92 / 2011

Adam Bohonos, Ryszard Płuciennik 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.


  • Adam BohonosSchool of Mathematics
    West Pomeranian University of Technology
    Al. Piastów 48/49
    70-310 Szczecin, Poland
  • Ryszard PłuciennikInstitute of Mathematics
    Poznań University of Technology
    Piotrowo 3A
    60-965 Poznań, Poland

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