Geodesic
Measurability and Selections of Multi-Functions in Banach Spaces
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 229-24 Cet article a éte moissonné depuis la source Heldermann Verlag

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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},
     year = {2010},
     volume = {17},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a16/}
}
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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/