Cesaro函数空间CES_p的依测度收敛的Opial性质和强端点  

Strongly Extreme Points and Opial Property in Measure in Cesaro Function Space CES_p

作　　者：于非非[1] 李君[1] 

机构地区：[1]天津科技大学理学院,天津300457

出　　处：《天津科技大学学报》2012年第3期75-78,共4页Journal of Tianjin University of Science & Technology

摘　　要：依测度收敛的Opial性质为函数空间所特有,验证了Cesaro函数空间CES(1)p<p<∞有依测度收敛的Opial性质,证明了(CES)pz∈S都是(CES)pB的强端点,进而证明了CES(1)p<p<∞是中点局部一致凸的.The Opial property in measure belongs to function space, and it is discussed in connection with CES （I〈p〈∞）, based on the theory of the Banach function space. At the same time, the fact is proved that z∈ S（CESp） is the strongly extreme point of B（CESp）, and the conclusion is that space CESp （I〈p〈 ∞） is the mid-point locally uniform rotund.

关 键 词：Cesaro函数空间CESp(1) Opial性质 强端点 中点局部一致凸 

分 类 号：O177.2[理学—数学]