Geodesic
Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Orlicz Norm
Journal of convex analysis, Tome 21 (2014) no. 2, pp. 477-494

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The criteria for midpoint locally uniform rotundity in the classical Orlicz function spaces have been given already. However, because of the complicated structure of Musielak-Orlicz-Bochner function spaces, up to now the criteria for midpoint locally uniform rotundity have not been discussed yet. In this paper, criteria for midpoint locally uniform rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given.
Classification : 46E30, 46B20
Mots-clés : Strongly extreme point, midpoint locally uniformly rotund, Musielak-Orlicz-Bochner function spaces, Orlicz norm 
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     author = {S. Shang and Y. Cui and Y. Fu},
     title = {Midpoint {Locally} {Uniform} {Rotundity} of {Musielak-Orlicz-Bochner} {Function} {Spaces} {Endowed} with the {Orlicz} {Norm}},
     journal = {Journal of convex analysis},
     pages = {477--494},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a8/}
}
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S. Shang; Y. Cui; Y. Fu. Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Orlicz Norm. Journal of convex analysis, Tome 21 (2014) no. 2, pp. 477-494. http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a8/