Geodesic
On Some Properties of Pettis Integrable Multifunctions
Journal of convex analysis, Tome 19 (2012) no. 3, pp. 671-683.

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

We study Aumann-Pettis integrable multifunctions on 2X, where X is a separable Banach space and their integrals. We prove the existence of a weakly compact convex-valued Pettis integrable multifunction F for a closed, convex, decomposable and weakly sequentially compact subset K of P1(μ, X), the space of all Pettis integrable functions on X such that K coincides with SFP, the collection of all Pettis integrable selectors of F. We also study the weak compactness property of SFP.
Classification : 46G10, 46E30, 46P10, 28B20, 54C60
Mots-clés : Aumann-Pettis integrable multifunctions, Pettis integrable multifunctions, Aumann-Pettis integral, Pettis integral, weak convergence 
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     author = {N. D. Chakraborty and T. Choudhury},
     title = {On {Some} {Properties} of {Pettis} {Integrable} {Multifunctions}},
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     publisher = {mathdoc},
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N. D. Chakraborty; T. Choudhury. On Some Properties of Pettis Integrable Multifunctions. Journal of convex analysis, Tome 19 (2012) no. 3, pp. 671-683. http://geodesic.mathdoc.fr/item/JCA_2012_19_3_JCA_2012_19_3_a3/