A characterization of Pontryagin-van Kampen duality for locally convex spaces

被引：0

作者：

Bonales, FG

Trigos-Arrieta, FJ

Mendoza, RV

机构：

[1] Calif State Univ Bakerfield, Dept Math, Bakersfield, CA 93311 USA

[2] Univ Michoacana, Escuela Ingn Quim, Morelia 58060, Michoacan, Mexico

[3] Univ Michoacana, Escuela Ciencias Fis Matemat, Morelia 58060, Michoacan, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2002年 / 121卷 / 1-2期

关键词：

absorbent; barrel; bornological; character; compact; convex; dual; equicontinuity; locally convex space; polar; quasi-complete; reflective; reflexive; topological group; weak topology;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Topological vector spaces (TVSs) are topological Abelian groups when considered under the operation of addition. It is therefore natural to ask when they satisfy Pontryagin-van Kampen (P-vK) duality. In 1984 S. Kye published a characterization of P-vK duality for real locally convex spaces (LCSs). His proof however is incorrect. In this paper we offer an alternative characterization of P-vK duality for real LCSs. We also compare our results with some other contributions and state a number of questions. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：75 / 89

页数：15

共 30 条

[1] PONTRYAGIN DUALITY IN THE THEORY OF TOPOLOGICAL VECTOR-SPACES [J].