Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Abstract

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.

Keywords

• p-amemiya norm
• uniformly normal structure
• orlicz function spaces