Orlicz空间的U性质

摘要

In this paper, a result that a finite dimensional subspace of Orlicz space with Orlicz norm [or Luxemburg norm] has property U if and only if each element of the subspace is a smooth point is obtained.%该文得到对于赋Orlicz范数(或Luxemburg范数)的Orlicz空间LM(或(M)),它的任意有限维子空间具有U性质的充分必要条件是该子空间的每一非零点是LM(或L(M))的光滑点.