赋p-Amemiya范数Orlicz空间的k-端点和k-强端点(1≤P≤∞)

摘要

In this paper, criteria for k-extreme points and k-strongly extreme points of the unit ball in Orlicz spaces with p-Amemiya( 1 ≤p≤ ∞ )norms(LM.p spaces in shot) are given. Throngh them we obtain sufficient and necessary conditions that Lm.p ( 1 ≤p ≤ ∞ ) spaces are k-strict convexity and mid-local k-uniformly convexity.%给出了赋p-Amemiya(1≤p≤∞)范数Orlicz空间(记为Lm,p空间)单位球面k-端点和k-强端点的判据,并据此得到了Lm,p空间是k-严格凸和中点局部k-一致凸的充要条件.