ON THE EXTENSION OF MULTIMEASURES AND INTEGRATION WITH RESPECT TO A MULTIMEASURE

被引：16

作者：

KANDILAKIS, DA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 116卷 / 01期

关键词：

SET VALUED FUNCTION; MEASURE; MULTIMEASURE; SUPPORT FUNCTION; SELECTOR; WEAK COMPACTNESS; UNIFORMLY STRONGLY ADDITIVE;

D O I：

10.2307/2159298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a Caratheodory-Hahn-Kluvanek-type theorem for multimeasures whose values are weakly compact and convex subsets of a Banach space. Set functions obtained by integrating a bounded measurable function with respect to a multimeasure are also studied.

引用

页码：85 / 92

页数：8