When is the space of minimal usco/cusco maps a topological vector space

被引：4

作者：

Hola, L'ubica ^{[1
]}

Novotny, Branislav ^{[1
]}

机构：

[1] Slovak Acad Sci, Math Inst, Stefanikova 49, SK-81473 Bratislava, Slovakia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 489卷 / 01期

关键词：

Minimal usco; Minimal cusco; Group; Topological vector space; Stegall space; DENSELY CONTINUOUS FORMS; UNIFORM-CONVERGENCE; USCO; THEOREMS;

D O I：

10.1016/j.jmaa.2020.124125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will define a vector structure on the space of minimal usco (resp. cusco) maps from a locally compact space to a Stegall locally convex space. We will prove that these spaces equipped with the topology of uniform convergence on compacta are locally convex spaces. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：15

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