Nearly strict convexity in Musielak-Orlicz-Bochner function spaces |
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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 Chinab Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, PR China |
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| Abstract: | Criteria for nearly strict convexity of Musielak-Orlicz-Bochner function spaces equipped with the Luxemburg norm are given. We also prove that, in Musielak-Orlicz-Bochner function spaces generated by strictly convex Banach space, nearly strict convexity and strict convexity are equivalent. |
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| Keywords: | 46E30 46B20 |
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