Luxemburg范数下Orlicz-Bochner函数空间的局部凸性  

Locally Rotundity of Orlicz-bochner Function Space with the Luxemburg Norm

作　　者：张剑尘[1] 李超平[1] 

机构地区：[1]湖南科技大学,湖南湘潭411201

出　　处：《计算技术与自动化》2009年第2期59-61,共3页Computing Technology and Automation

基　　金：湖南省自然科学基金资助项目(07JJ3011)

摘　　要：运用Orlicz空间和Lebesgue-Bochner空间理论及技巧,刻画赋Luxemburg范数的Orlicz-Bochner函数空间的球面特征,得到球面上的点为局部一致凸点的充分性条件和空间具有局部一致凸性质的充要条件。In this paper, by using Orlicz space and Lebesgue - Bochner space theory and skills, we characterize spherical characteriatics of Orticz- Bochner function space with the Luxemburg norm ,and the sufficient conditions were given for the locally uniform rotundity point of Orlicz - Bochner function space with the Luxemburg norm. And we also derived the sufficient and necessary conditions for the locally uniform rotundity of Orlicz - Bochner function space with the Luxemburg norm.

关 键 词：Orlicz-Bochner函数空间 LUXEMBURG范数 局部一致凸 Δ2条件 

分 类 号：O177.2[理学—数学]