Felbin模糊赋范线性空间上一类模糊有界算子

doi:10.6040/j.issn.1671-9352.0.2016.191

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (2): 49-54.doi: 10.6040/j.issn.1671-9352.0.2016.191

Felbin模糊赋范线性空间上一类模糊有界算子

常晓璇,纪培胜^*

青岛大学数学与统计学院, 山东青岛 266071

收稿日期:2016-04-28 出版日期:2017-02-20 发布日期:2017-01-18
通讯作者: 纪培胜(1967— ),男,博士,教授,研究方向为泛函分析. E-mail:jipeish@yahoo.com E-mail:1542481538@qq.com
作者简介:常晓璇(1991— ),女,硕士研究生,研究方向为泛函分析. E-mail:1542481538@qq.com

Class of fuzzy bounded operators in Felbins type fuzzy normed linear spaces

CHANG Xiao-xuan, JI Pei-sheng^*

School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China

Received:2016-04-28 Online:2017-02-20 Published:2017-01-18

摘要/Abstract

摘要： 提出了Felbin模糊赋范线性空间上一类模糊有界算子的模糊范数的定义,指出了此类模糊有界算子构成模糊赋范线性空间,研究了此空间赋此模糊范数的拓扑结构和完备性。

关键词: 模糊泛函分析, 完备性, 模糊范数, 模糊赋范线性空间

Abstract: The definition of the fuzzy norm of a class of fuzzy bounded operators in Felbins type fuzzy normed spaces is introduced. Furthermore,it is showed that the class of fuzzy bounded operators endowed with this fuzzy norm is still a fuzzy normed space, and its topological structure as well as completeness is studied.

Key words: fuzzy functional analysis, fuzzy norm, completeness, fuzzy normed linear space

中图分类号:

O177.99

常晓璇,纪培胜. Felbin模糊赋范线性空间上一类模糊有界算子[J]. 山东大学学报（理学版）, 2017, 52(2): 49-54.

CHANG Xiao-xuan, JI Pei-sheng. Class of fuzzy bounded operators in Felbins type fuzzy normed linear spaces[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 49-54.

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Felbin模糊赋范线性空间上一类模糊有界算子

Class of fuzzy bounded operators in Felbins type fuzzy normed linear spaces

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