Journal of Convex Analysis 21 (2014), No. 2, 477--494
Copyright Heldermann Verlag 2014
Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Orlicz Norm
Shaoqiang Shang
Dept. of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China
sqshang@163.com
Yunan Cui
Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China
cuiya@hrbust.edu.cn
Yongqiang Fu
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China
colfuyq@mail.hrb.hl.cninfo.net
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.
Keywords: Strongly extreme point, midpoint locally uniformly rotund, Musielak-Orlicz-Bochner function spaces, Orlicz norm.
MSC: 46E30, 46B20
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