MEASURABLE MULTIFUNCTIONS IN NONSEPARABLE BANACH-SPACES

Authors
BARCENAS D URBINA W
Citation
D. Barcenas et W. Urbina, MEASURABLE MULTIFUNCTIONS IN NONSEPARABLE BANACH-SPACES, SIAM journal on mathematical analysis, 28(5), 1997, pp. 1212-1226
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
5
Year of publication
1997
Pages
1212 - 1226
Database
ISI
SICI code
0036-1410(1997)28:5<1212:MMINB>2.0.ZU;2-2
Abstract
In this article we define measurable multifunctions in nonseparable Ba nach spaces, prove a weak compactness criterion for the selectors of m ultifunctions integrably bounded, characterize Banach spaces that have the Radon-Nikodym property by means of convergence of multivalued mar tingales, generalize some recent results on convergence of set-valued conditional expectations, and give some applications to control theory and differential inclusions.