L_1[a,b]中依测度收敛的Opial性质及端点  

The Opial Property in Measure and Extreme Points in L_1[a,b]

作　　者：王莉萍[1] 李银魁[1] 

机构地区：[1]鹤壁职业技术学院,河南鹤壁458030

出　　处：《郑州大学学报（理学版）》2006年第4期20-22,共3页Journal of Zhengzhou University:Natural Science Edition

摘　　要：依测度收敛的Opial性质是Banach空间的重要性质,而端点对于几何性质的讨论起着重要作用.给出了L1[a,b]函数空间中的依测度收敛的Opial性质的等价描述及端点的判别准则.The Opial property in measure is an important geometry of Banach spaces, and the extreme point is important for the discussion of geometry property. The equivalent description of the Opial property in measure and the criteria of extreme points in L1 [a,b] are given.

关 键 词：依测度收敛 Opial性质 绝对连续范数 端点 

分 类 号：O174.12[理学—数学]