模糊赋范线性空间的紧性与完备性  

Compactness and Completeness of Fuzzy Normed Linear Space

作　　者：肖建中[1] 

机构地区：[1]盐城师范学院数学系,江苏盐城224002

出　　处：《模糊系统与数学》2000年第3期48-53,共6页Fuzzy Systems and Mathematics

摘　　要：讨论了 Fuzzy赋范线性空间中准紧集、完备集及有界集间的关系 ;给出完备 Fuzzy赋范空间的闭球套定理与 Baire定理 ;刻画了有限维 Fuzzy赋范空间的特征。In this paper,the relations among the precompact set,the complete set and the bounded set of a fuzzy normed linear space are discussed,the closed ball theorem and Baire theorem on complete fuzzy linear spaces are given,and the characters of finite dimensional fuzzy normed linear spaces are described.

关 键 词：准紧集 完备集 有界集 模糊赋范线性空间 紧性 完备性 

分 类 号：O159[理学—数学] O177.3[理学—基础数学]