Orlicz空间的几个注记

Some notes of Orlicz spaces

证明了Orlicz对偶空间单位球面上的k-端点必定为(k+1)端点,并且给出了赋Luxemburg范数的Orlicz对偶空间单位球上的k-端点的充分必要条件.此外,还给出了Orlicz空间中的近严格凸的一个判别条件.

In this paper, a κ - extreme point of the unit sphere in the dual space of the Orlicz space must be a （κ＋ 1 ） - extreme point is proved. And by it this paper obtains both sufficient and necessary condition of κ - extreme point for the dual space of the Orlicz space with the Luxemburg norm. And also gives a criterion for nearly strict convexity in the Orlicz space.