MEASURABILITY AND INTEGRABILITY OF THE WEAK UPPER LIMIT OF A SEQUENCE OF MULTIFUNCTIONS

被引：33
作者：
HESS, C
机构：
[1] Centre de Recherche de Mathématiques de la Décision (CEREMADE), Université Paris Dauphine
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 153卷 / 01期
关键词：
D O I：
10.1016/0022-247X(90)90275-K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide several properties of the weak upper limit of a sequence of subsets of a separable Banach space, such as a criterion of non-vacuity, of closedness, etc. We also examine the measurability of the multifunction defined as the weak upper limit of a sequence of multifunctions. At last, applications to the existence of a measurable and Bochner integrable selector for this multifunction are presented. © 1990.
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页码：226 / 249
页数：24
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