Olicz空间LM的LN°一致凸点

ON L ° NUR POINT OF ORLICZ SPACES L M

给出了Ｏｒｌｉｃｚ空间ＬＭ中Ｌ°Ｎ一致凸（Ｌ°ＮＵＲ）点的定义，找到了ＬＭ中Ｌ°ＮＵＲ点的判别准则及一些相应推论．

In this paper, we define the L ° NUR point in Orlicz spaces L M and the criteria of L ° NUR points was given. Also we show some corresponding Corollaries. The main results are as follows: x∈S(L M) is an L ° NUR points  (i) ξ(x)<1; ( ii ) μ{t∈G:|x(t)|∈R\S M}=0; (iii) μ{t∈G:|x(t)|∈∪∞i=1{b i}}=0 or μ{t∈G:|x(t)|∈∪∞i=1{a i}}=0 and M∈ 2. L M is L ° NURM∈△ 2∩ 2 and M(·) is SR.