
Journal of Convex Analysis 19 (2012), No. 1, 213223 Copyright Heldermann Verlag 2012 Midpoint Locally Uniform Rotundity of MusielakOrliczBochner Function Spaces Endowed with the Luxemburg Norm Shaoqiang Shang Department of Mathematics, Harbin Institute of Technology, Harbin 150001, 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 Criteria for midpoint locally uniform rotundity of MusielakOrliczBochner function spaces equipped with the Luxemburg norm are given. We also prove that, in MusielakOrliczBochner function spaces generated by midpoint locally uniformly rotund Banach space, midpoint locally uniform rotundity and rotundity are equivalent. Keywords: Midpoint locally uniform rotundity, MusielakOrliczBochner function spaces, Luxemburg norm. MSC: 46E30, 46B20 [ Fulltextpdf (131 KB)] for subscribers only. 