Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

In this paper, the criterion that points of Orlicz function spaces equipped with Φ -Amemiya norm generated by an Orlicz function are strongly extreme is given. As a corollary, the sufficient and necessary conditions of midpoint local uniform rotundity of Orlicz function spaces equipped with Φ -Amemi...

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Bibliographic Details
Published in:Journal of inequalities and applications 2020-08, Vol.2020 (1), p.1-13, Article 199
Main Authors: An, Lili, Cui, Yunan
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Function space
Mathematics
Mathematics and Statistics
Midpoint local uniform rotundity
Orlicz function spaces
Strongly extreme points
Φ-Amemiya norm
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Summary:In this paper, the criterion that points of Orlicz function spaces equipped with Φ -Amemiya norm generated by an Orlicz function are strongly extreme is given. As a corollary, the sufficient and necessary conditions of midpoint local uniform rotundity of Orlicz function spaces equipped with Φ -Amemiya norm are obtained.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02466-x