The vector lattice structure on the Isbell-convex hull of an asymmetrically normed real vector space

被引：4
|
作者：
Conradie, Julie [1 ]
Kunzi, Hans-Peter A. [1 ]
Otafudu, Olivier Olela [2 ]
机构：
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
来源：
TOPOLOGY AND ITS APPLICATIONS | 2017年 / 231卷
基金：
新加坡国家研究基金会;
关键词：
To-quasi-metric; Asymmetric norm; Minimal pairs; Isbell-convex; Injective; Hyperconvex; Dedekind-complete; Specialisation order; T-0-QUASI-METRIC SPACES; TIGHT EXTENSIONS; SPANS;
D O I：
10.1016/j.topol.2017.09.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit description of the algebraic and vector lattice operations on the Isbell-convex hull of an asymmetrically normed real vector space is provided. Connections between the concepts of Isbell-convexity, injectivity and Dedekind-completeness of asymmetrically normed real vector spaces are also considered. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：92 / 112
页数：21
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