Geodesic
Measurability and Selections of Multi-Functions in Banach Spaces
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 229-24.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study the existence of measurable selectors for multi-functions whose values are weakly compact subsets of a Banach space. On one hand, we characterize multi-functions having strongly measurable selectors. On the other hand, we prove that every scalarly measurable multi-function admits scalarly measurable selectors. No separability assumptions are required for the range spaces.
Classification : 28B05, 28B20, 46G10
Mots-clés : Multi-function, measurable selector 
@article{JCA_2010_17_1_JCA_2010_17_1_a16,
     author = {B. Cascales and V. Kadets and J. Rodr{\'\i}guez},
     title = {Measurability and {Selections} of {Multi-Functions} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {229--24},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a16/}
}
TY  - JOUR
AU  - B. Cascales
AU  - V. Kadets
AU  - J. Rodríguez
TI  - Measurability and Selections of Multi-Functions in Banach Spaces
JO  - Journal of convex analysis
PY  - 2010
SP  - 229
EP  - 24
VL  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a16/
ID  - JCA_2010_17_1_JCA_2010_17_1_a16
ER  - 
%0 Journal Article
%A B. Cascales
%A V. Kadets
%A J. Rodríguez
%T Measurability and Selections of Multi-Functions in Banach Spaces
%J Journal of convex analysis
%D 2010
%P 229-24
%V 17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a16/
%F JCA_2010_17_1_JCA_2010_17_1_a16
B. Cascales; V. Kadets; J. Rodríguez. Measurability and Selections of Multi-Functions in Banach Spaces. Journal of convex analysis, Tome 17 (2010) no. 1, pp. 229-24. http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a16/