Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm
Extreme Points and Strong U-Points in Musielak–Orlicz Sequence Spaces Equipped with the Orlicz Norm
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DOI：
10.4171/zaa/1312
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发表时间：
2007-03
影响因子：
1.2
通讯作者：
Yunan Cui;H. Hudzik;M. Wisła;M. Zou
中科院分区：
文献类型：
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作者：
Yunan Cui;H. Hudzik;M. Wisła;M. Zou
给出了赋Orlicz范数的Musielak{Orlicz序列空间的端点和强U点的一些判据。从这些结果可以得出，在这些空间中，强U点的概念本质上强于极值点的概念。关键词。Musielak{Orlicz序列空间，极点，强U点，Orlicz范数。《数学学科分类》(2000)。主46B20、46E30、次46A45
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. Mathematics Subject Classiflcation (2000). Primary 46B20, 46E30, secondary 46A45