Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm |
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| Authors: | Shaoqiang Shang Yunan Cui |
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| Institution: | 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 |
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| 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. |
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| Keywords: | Locally uniform convexity Strict convexity Musielak-Orlicz function spaces of Bochner type |
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