On the Range of a Vector Measure

被引：0

作者：

de Kock, Mienie ^{[1
]}

Puglisi, Daniele ^{[2
]}

机构：

[1] Texas A&M Univ Cent Texas, Dept Math, Killeen, TX 76549 USA

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

VECTOR MEASURES, INTEGRATION AND RELATED TOPICS | 2010年 / 201卷

关键词：

Range of a vector measure; BANACH SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a countable subset of c(0) that lies in the range of a (c(0))**-valued measure, then C lies in the range of a c(0)-valued measure. We extend this result to C(K), where K is a compact Hausdorff space, i.e., we let C be a countable subset of C(K) that lies in the range of a C(K)**-valued measure, then C lies in the range of a C(K)-valued measure. We will also see that in any separable Banach space the result still holds.

引用

页码：285 / +

页数：2

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