Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm
Yunan Cui
University of Science and Technology, Harbin, ChinaHenryk Hudzik
Adam Mickiewicz University, Poznan, PolandM. Wisla
Adam Mickiewicz University, Poznan, PolandMingxia 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