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

Yunan Cui | Zendy; Henryk Hudzik | Zendy; Marek Wisła | Zendy; Mingxia Zou | Zendy

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

Author(s) -

Yunan Cui,

Henryk Hudzik,

Marek Wisła,

Mingxia Zou

Publication year - 2007

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1312

Subject(s) - norm (philosophy) , mathematics , extreme point , sequence (biology) , pure mathematics , combinatorics , biology , genetics , philosophy , epistemology

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

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