Geodesic
Approximation of Pettis Integrable Multifunctions with Values in Arbitrary Banach Spaces
Journal of convex analysis, Tome 20 (2013) no. 3, pp. 833-87

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Approximation of functions and multifunctions by simple functions and multifunctions plays an important role in the theory separable valued functions and multifunctions. Also in case of Pettis integrable functions with values in non-separable Banach spaces there exists a satisfactory approximation theory, but in case of Pettis integrable multifunctions with values in non-separable Banach spaces no such a theory exists. It is the aim of this paper to fill in that gap.
Classification : 28B20, 28B05, 46G10, 54C60, 54C65
Mots-clés : Multifunctions, multimeasures, approximation, set-valued Pettis integral, support functions, selections, martingales 
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     author = {K. Musial},
     title = {Approximation of {Pettis} {Integrable} {Multifunctions} with {Values} in {Arbitrary} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {833--87},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a10/}
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K. Musial. Approximation of Pettis Integrable Multifunctions with Values in Arbitrary Banach Spaces. Journal of convex analysis, Tome 20 (2013) no. 3, pp. 833-87. http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a10/