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

Abstract 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...

Full description

Bibliographic Details
Main Authors: Lili An, Yunan Cui
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02466-x
Description
Summary:Abstract 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