关于随机光滑点  

Random Smooth Points

作　　者：赵世恩[1] 赵媛[2] 

机构地区：[1]首都师范大学初等教育学院,北京100048 [2]河北金融学院基础部,河北保定071051

出　　处：《河南科技大学学报（自然科学版）》2015年第4期95-97,104,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11401399);北京市自然科学基金项目(1144008)

摘　　要：提出随机赋范模中随机光滑点的概念,利用随机赋范模与经典赋范空间的联系,给出了随机光滑点和经典光滑点的关系。最后,利用有限生成随机赋范模的代数结构,给出了几个随机光滑点的基本性质。这些结果将进一步丰富随机赋范模几何学已有的内容。The definition of random smooth points was presented in random normed modules. By using the relations between random normed modules and classical normed spaces,the intrinsic relations between random smooth points in random normed modules and smooth points in normed spaces were obtained. Finally,by using the algebraic structure of finitely generated random normed modules,some basic properties of random smooth points were gotten. These results further enrich existing content of geometry in random normed modules.

关 键 词：随机赋范模 随机共轭空间 随机光滑点 (ε λ)-拓扑 

分 类 号：O177.92[理学—数学]