[1]张 慧.广义模糊p-伪范数与局部半凸I-拓扑向量空间(英文)[J].南京师大学报(自然科学版),2008,31(01):8-14.
 Zhang Hui,Fang Jinxuan.Generalized Fuzzy p-Pseudonorm and Locally Semi-Convex I-Topological Vector Spaces[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(01):8-14.
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广义模糊p-伪范数与局部半凸I-拓扑向量空间(英文)()
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《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年01期
页码:
8-14
栏目:
数学
出版日期:
2008-03-30

文章信息/Info

Title:
Generalized Fuzzy p-Pseudonorm and Locally Semi-Convex I-Topological Vector Spaces
作者:
张 慧1 2 方锦暄1
( 1. 南京师范大学数学与计算机科学学院, 江苏南京210097 )
( 2. 安徽师范大学数学系, 安徽芜湖241000)
Author(s):
Zhang Hui12Fang Jinxuan1
( 1. S chool ofM athem atics and C ompu ter Science, N an jing Norm alUn iversity, Nan jing 210097, Ch ina)
( 2. Departm en t ofM athem atics, Anhu iN orm alUn ivers ity, W uhu 241000, Ch ina )
关键词:
半凸模糊集 局部半凸I-拓扑向量空间 广义模糊p-伪范数
Keywords:
sem -i conv ex fuzzy set locally sem -i convex I- topo log ica l vecto r space genera lized fuzzy p - pseudono rm
分类号:
O189.13
摘要:
给出局部半凸I-拓扑向量空间的一个新定义,并重新命名"局部半凸模糊拓扑线性空间"为"(QL)-型局部半凸I-拓扑向量空间",研究这两种定义之间的关系,引入广义模糊p-伪范数的概念,证明每个局部半凸I-拓扑向量空间可通过一族广义模糊p-伪范数来刻画.
Abstract:
In th is paper, we g ive a new de finition of locally sem -i convex I- topo log ica l v ec tor spaces and renam e lo ca lly sem -i convex fuzzy topo log ica l linear spaces as locally sem -i convex I- topo log ica l vecto r spaces o f (QL ) - type. The relation be tw een these two defin itions is studied. W e introduce the no tion o f genera lized fuzzy p - pseudono rm, and prove tha t ev ery locally sem -i convex I- vector topo logy can be determ ined by a fam ily o f genera lized fuzzy p- pseudonorm s

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备注/Memo

备注/Memo:
Foundation item: Supported by the NNSF ( 10671094 ) , th e Specialized R esearch Fund for the Doctor Program ofH igher E ducation of Ch ina
( 20060319001 ) and the NSF for the H igher E du cation ofAnhu i( KJ2008B242) .
Biography: Zhang H u,i fem ale, born in 1976, doctor, m ajored in th e fun ct ion al analys is and fuzzy mathem atics. E-m ail: zh9907084@ sohu. com
Corresponding autho r: Fang J inxuan, born in 1943, p rofessor, m ajored in the functional ana lysis and fuzzy mathem atics. E-m ail:jxfang@ n jnu.
edu. cn
更新日期/Last Update: 2013-05-05