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Zeitschrift für Analysis und ihre Anwendungen


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Volume 26, Issue 1, 2007, pp. 87–101
DOI: 10.4171/ZAA/1312

Published online: 2007-03-31

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

Yunan Cui[1], Henryk Hudzik[2], M. Wisla[3] and Mingxia Zou[4]

(1) University of Science and Technology, Harbin, China
(2) Adam Mickiewicz University, Poznan, Poland
(3) Adam Mickiewicz University, Poznan, Poland
(4) University of Science and Technology, Harbin, China

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.

Keywords: Musielak–Orlicz sequence space, extreme point, strong U-point, Orlicz norm

Cui Yunan, Hudzik Henryk, Wisla M., Zou Mingxia: Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm. Z. Anal. Anwend. 26 (2007), 87-101. doi: 10.4171/ZAA/1312