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Measurability and integrability of the weak upper limit of a sequence of multifunctions

Hess, Christian (1990), Measurability and integrability of the weak upper limit of a sequence of multifunctions, Journal of Mathematical Analysis and Applications, 153, 1, p. 226-249. http://dx.doi.org/10.1016/0022-247X(90)90275-K

Type
Article accepté pour publication ou publié
Date
1990
Journal name
Journal of Mathematical Analysis and Applications
Volume
153
Number
1
Publisher
Elsevier
Pages
226-249
Publication identifier
Metadata
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Author(s)
Hess, Christian
Abstract (EN)
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.
Subjects / Keywords
multifunction; separable Banach space