Orlicz 序列空间1_(M)的光滑点集

ON THE SET OF SMOOTH POINTS OF ORLICZ SEQUENCE SPACES 1_((M))

本文给出了 Orlicz 序列空间 l_((M)),的光滑点集是开集的充分必要条件且证明了一般空间 l_((M)),的光滑点集是 l_((M))的稠

This paper presents a necessary and sufficient condition that the set of smooth points of orlicz sequence spaces for luxemburg norm is an open set and shows that for any such Orlicz sequence space the set of smooth points is a dense Gδ set.