证明了Orlicz对偶空间单位球面上的κ-端点必定为(κ+1)端点,并且给出了赋Luxemburg范数的Orlicz对偶空间单位球上的κ-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.