On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm

Commentationes mathematicae Universitatis Carolinae

Fazia Bedouhene¹ 

关键词: local uniform convexity;    uniform convexity in every direction;    mid point locally uniform;    H-property;    strict convexity;    approximation;    Besicovitch-Musielak-Orlicz space;    almost periodic function;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions $(\widetilde{B}^{\varphi }a.p.)$ endowed with the Luxemburg norm.

【 授权许可】

CC BY