Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm

  • Yunan Cui

    University of Science and Technology, Harbin, China
  • Henryk Hudzik

    Adam Mickiewicz University, Poznan, Poland
  • M. Wisla

    Adam Mickiewicz University, Poznan, Poland
  • Mingxia Zou

    University of Science and Technology, Harbin, China

Abstract

We give some criteria for extreme points and strong U-points in Musielak–Orlicz sequence spaces equipped with the Orlicz norm. It follows from these results that the notion of the strong U-point is essentially stronger than the notion of the extreme point in these spaces.

Cite this article

Yunan Cui, Henryk Hudzik, M. Wisla, Mingxia Zou, Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm. Z. Anal. Anwend. 26 (2007), no. 1, pp. 87–101

DOI 10.4171/ZAA/1312