Extreme Points and Strongly Extreme Points of Musielak–Orlicz Sequences Spaces
✍ Scribed by Xin Bo Liu; Ting Fu Wang; Fei Fei Yu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 193 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1439-7617
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We study the complex strongly extreme points of bounded subsets of continuously quasi-normed vector spaces X over .ރ When X is a complex normed linear Ž . space, these points are the complex analogues of the familiar real strongly extreme points. We show that if X is a complex Banach space then th
## Abstract The aim of the paper is to give necessary and sufficient conditions under which the set of extreme points of the unit ball of an Orlicz space __L__^ϕ^(μ), equipped with the Luxemburg norm, is closed. Using that description a theorem is given saying when the notions “extremal” and “nice”