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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2020-08-06 , DOI: 10.1186/s13660-020-02466-x Lili An , Yunan Cui
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2020-08-06 , DOI: 10.1186/s13660-020-02466-x Lili An , Yunan Cui
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.
中文翻译:
配备Φ- Amemiya范数的Orlicz函数空间的极值
给出了由Orlicz函数生成的具有Φ-Amemiya范数的Orlicz函数空间的点极强的判据。作为推论,获得了配备Φ-Amemiya范数的Orlicz函数空间的中点局部一致圆度的充要条件。
更新日期:2020-08-06
中文翻译:
配备Φ- Amemiya范数的Orlicz函数空间的极值
给出了由Orlicz函数生成的具有Φ-Amemiya范数的Orlicz函数空间的点极强的判据。作为推论,获得了配备Φ-Amemiya范数的Orlicz函数空间的中点局部一致圆度的充要条件。