FUZZY CONTINUITY OF LINEAR-MAPS ON VECTOR-SPACES

被引：5

作者：

KRISHNA, SV

SARMA, KKM

机构：

[1] Department of Mathematics, Andhra University, Waltair

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 45卷 / 03期

关键词：

FUZZY TOPOLOGICAL VECTOR SPACES; CONVERGENCE; FUZZY CONTINUITY; FUZZY NORMS; TOPOLOGICAL DUALS;

D O I：

10.1016/0165-0114(92)90153-U

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper studies the fuzzy continuity of linear maps from one vector space into another, through a simple characterization of fuzzy convergence of fuzzy points. A fuzzy norm is defined on the set of all fuzzy continuous linear maps from a vector space into another. Convergence of a sequence of fuzzy continuous linear maps to a fuzzy continuous linear map is obtained. It is observed that unlike in the ordinary case, fuzzy normed topological vector spaces cannot be imbedded in their second duals.

引用

页码：341 / 354

页数：14

共 6 条

[1] FUZZY TOPOLOGICAL VECTOR-SPACES .1. [J].