Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Luxemburg Norm
Journal of convex analysis, Tome 19 (2012) no. 1, pp. 213-223
Cet article a éte moissonné depuis la source Heldermann Verlag
Criteria for midpoint locally uniform rotundity of Musielak-Orlicz-Bochner function spaces equipped with the Luxemburg norm are given. We also prove that, in Musielak-Orlicz-Bochner function spaces generated by midpoint locally uniformly rotund Banach space, midpoint locally uniform rotundity and rotundity are equivalent.
Classification :
46E30, 46B20
Mots-clés : Midpoint locally uniform rotundity, Musielak-Orlicz-Bochner function spaces, Luxemburg norm
Mots-clés : Midpoint locally uniform rotundity, Musielak-Orlicz-Bochner function spaces, Luxemburg norm
@article{JCA_2012_19_1_JCA_2012_19_1_a12,
author = {S. Shang and Y. Cui and Y. Fu},
title = {Midpoint {Locally} {Uniform} {Rotundity} of {Musielak-Orlicz-Bochner} {Function} {Spaces} {Endowed} with the {Luxemburg} {Norm}},
journal = {Journal of convex analysis},
pages = {213--223},
year = {2012},
volume = {19},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a12/}
}
TY - JOUR AU - S. Shang AU - Y. Cui AU - Y. Fu TI - Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Luxemburg Norm JO - Journal of convex analysis PY - 2012 SP - 213 EP - 223 VL - 19 IS - 1 UR - http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a12/ ID - JCA_2012_19_1_JCA_2012_19_1_a12 ER -
%0 Journal Article %A S. Shang %A Y. Cui %A Y. Fu %T Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Luxemburg Norm %J Journal of convex analysis %D 2012 %P 213-223 %V 19 %N 1 %U http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a12/ %F JCA_2012_19_1_JCA_2012_19_1_a12
S. Shang; Y. Cui; Y. Fu. Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Luxemburg Norm. Journal of convex analysis, Tome 19 (2012) no. 1, pp. 213-223. http://geodesic.mathdoc.fr/item/JCA_2012_19_1_JCA_2012_19_1_a12/