Linear operators in fuzzifying topological linear spaces

被引：3
|
作者：
Yan, CH [1 ]
机构：
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 14期
基金：
中国国家自然科学基金;
关键词：
fuzzifying topological linear spaces; mapping of bounded degree; linear operators; closed graph theorem; initial fuzzifying topologies;
D O I：
10.1016/j.fss.2006.01.009
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, some of the properties of continuous linear operators between fuzzifying topological linear space, are studied. Particularly, the equivalence between continuity and boundedness is investigated and the closed graph theorem is generalized to the fuzzifying setting. Finally some properties of the initial fuzzifying topologies determined by a family of linear operators are investigated. (C) 2006 Elsevier B.V. All rights reserved.
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页码：1983 / 1994
页数：12
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