算子的模糊范数及其空间性态的刻画  

The Fuzzy Norm of Operators and Description of Properties of Their 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：《西南师范大学学报（自然科学版）》2003年第3期347-351,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：江苏省教育厅自然科学基金项目(02KJD110007).

摘　　要：利用模糊分解原理提出模糊赋范线性空间上算子的模糊范数的定义,指出赋此范数的模糊有界线性算子集构成模糊赋范线性空间且保持值域空间的完备性.A new definition of fuzzy norm of linear operators on a fuzzy normed space is introduced. It is showed that the set of fuzzy bounded linear operators endowed with the new fuzzy norm is still a fuzzy normed space and preserves the completeness of their range.

关 键 词：模糊赋范线性空间 模糊有界算子 模糊范数 空间性态 完备性 

分 类 号：O177[理学—数学] O159[理学—基础数学]