摘要
本文给出了Orlicz空间具有弱一致凸(W*UR)
In this paper the criteria of W* -uniform rotundity of Orlicz spaces endowed with Orlicz norm and Luxemburg norm are obtained:
Orlicz space [LM (G ,) , M] is W*UR iff M(u) is uniformly convex (Th.l); Orlicz space [LM (G ,), ||. ||(M) is W*UR iff M(u) is strictly convex on [0 ,∞) and satisfies △2-condition (Th.2) By the way it is easy to deduce from these results the criteria of uniform Gateaux differentiability of ||.|| (M) and ||.|| M.
出处
《黑龙江大学自然科学学报》
CAS
1992年第1期10-16,共7页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金
