AN ORDERED SUPRABARRELLED SPACE

被引：3

作者：

FERRANDO, JC

LOPEZPELLICER, M

机构：

[1] Departmento de Matemática Aplicada (ETSIA), Universidad Politécnica de Valencia, Valencia, 46071

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1991年 / 51卷

关键词：

barrelled space; suprabarrelled space;

D O I：

10.1017/S1446788700033346

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A locally convex space E is said to be ordered suprabarrelled if given any increasing sequence of subspaces of E covering E there is one of them which is suprabarrelled. In this paper we show that the space m0(X, SIGMA), where X is any set and SIGMA is a sigma-algebra on X, is ordered suprabarrelled, given an affirmative answer to a previously raised question. We also include two applications of this result to the theory of vector measures.

引用

页码：106 / 117

页数：12

共 11 条

[1] VECTOR MEASURES [J].