摘要
研究以 Fuzzy实数作为范数的 Fuzzy赋范线性空间上线性泛函的扩张 ,建立了连续线性泛函的 Hahn-Banach定理 ;并将其应用于通常的赋泛线性空间与概率赋范线性空间 ,分别得到该定理的经典形式与 Menger-PN空间中的表述形式 .
The extension of linear fanctionals is studied on some fuzzy normed linear space in which the norm of a point is a fuzzy real number.On this space the Hahn-Banach theorem for continuous linear fanctionals is established under some conditions of right norm.As application,the Hahn-Banach theorems with regard to usual normed linear space and Menger PN space are obtained.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2002年第1期11-14,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
江苏省教育厅资助项目
