Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm

Abstract

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.

Keywords

• musielak-orlicz function space
• p-amemiya norm
• dual space; smoothness
• strict convexity