Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm |
| |
Authors: | Shaoqiang Shang Yunan Cui |
| |
Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China b Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, PR China |
| |
Abstract: | Criteria for locally uniform convexity of Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm are given. We also prove that, in Musielak-Orlicz function spaces generated by locally uniformly convex Banach space, locally uniform convexity and strict convexity are equivalent. |
| |
Keywords: | Locally uniform convexity Strict convexity Musielak-Orlicz function spaces of Bochner type |
本文献已被 ScienceDirect 等数据库收录! |