On the Darboux Property in the Multivalued Case

被引：0
|
作者：
Gavrilut, Alina [1 ]
Croitoru, Anca [1 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania
来源：
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2008年 / 35卷
关键词：
Pseudo-atom; atom; non-atomic; Darboux property; multimeasure; multisubmeasure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the concepts of atom, pseudo-atom, non-atomicity and the Darboux property for multivalued set functions. We establish the relationships between the Darboux property and non-atomicity and we point out the differences which appear here from the case of set functions. We prove that the range of a multimeasure having the Darboux property is a convex set.
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收藏
页码：130 / 138
页数：9
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