
Journal of Convex Analysis 21 (2014), No. 2, 477494 Copyright Heldermann Verlag 2014 Midpoint Locally Uniform Rotundity of MusielakOrliczBochner 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 MusielakOrliczBochner 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 MusielakOrliczBochner function spaces equipped with Orlicz norm are given. Keywords: Strongly extreme point, midpoint locally uniformly rotund, MusielakOrliczBochner function spaces, Orlicz norm. MSC: 46E30, 46B20 [ Fulltextpdf (168 KB)] for subscribers only. 