In this paper,we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm.A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal structure is given.The corresponding results for the classical Orlicz function spaces equipped with both Luxemburg norm and Orlicz norm are unified.
关键词
p-Amemiya范数/一致正规结构/Orlicz函数空间
Key words
p-Amemiya norm/uniformly normal structure/Orlicz function spaces