Schauder bases and approximation property in fuzzy normed spaces

被引：12

作者：

Yilmaz, Yilmaz ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44280 Malatya, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 06期

关键词：

Fuzzy norm; Fuzzy bounded operator; Schauder basis; Approximation property; LINEAR-OPERATORS;

D O I：

10.1016/j.camwa.2009.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this article is to introduce and study the notion of weak and strong Schauder bases in fuzzy normed spaces. Further, we introduce strong and weak fuzzy approximation properties and set a relationship between these two new notions which may provide an acceleration to the structural analysis of fuzzy normed spaces. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1957 / 1964

页数：8

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