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

Yunan Cui; Henryk Hudzik; M. Wisla; Mingxia Zou

doi:10.4171/zaa/1312

JournalszaaVol. 26, No. 1pp. 87–101

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
MathSciNet zbMATH Open
Henryk Hudzik
Adam Mickiewicz University, Poznan, Poland
MathSciNet zbMATH Open
M. Wisla
Adam Mickiewicz University, Poznan, Poland
zbMATH Open
Mingxia Zou
University of Science and Technology, Harbin, China
MathSciNet zbMATH Open

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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