The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces,which is closely related to the convexity of Banach spaces and the differentiability of norms.In this paper,we provide necessary and sufficient conditions for smoothness of Musielak-Orlicz function spaces equipped with p-Amemiya norm.
关键词
Musielak-Orlicz函数空间/p-Amemiya范数/对偶空间:光滑性/严格凸
Key words
Musielak-Orlicz function space/p-Amemiya norm/dual space/smoothness/strict convexity