Geodesic
Lineability Issues Involving Vector-Valued Measurable and Integrable Functions
Journal of convex analysis, Tome 19 (2012) no. 2, pp. 393-402.

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

We construct, over many Banach spaces, infinite dimensional vector spaces of scalarly measurable functions that are not strongly measurable, and infinite dimensional vector spaces of ω*-scalarly measurable functions that are not scalarly measurable. A similar result will be proved for the set of McShane-integrable functions which are not Bochner-integrable.
Mots-clés : Strongly measurable, scalarly measurable, omega-star-scalarly measurable, McShane integrable functions, Bochner integrable functions 
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     author = {F. J. Garc{\'\i}a-Pacheco and M. A. Sofi},
     title = {Lineability {Issues} {Involving} {Vector-Valued} {Measurable} and {Integrable} {Functions}},
     journal = {Journal of convex analysis},
     pages = {393--402},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2012},
     url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a4/}
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F. J. García-Pacheco; M. A. Sofi. Lineability Issues Involving Vector-Valued Measurable and Integrable Functions. Journal of convex analysis, Tome 19 (2012) no. 2, pp. 393-402. http://geodesic.mathdoc.fr/item/JCA_2012_19_2_JCA_2012_19_2_a4/