Noncreasy and uniformly noncreasy Orlicz-Bochner function spaces |
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| Authors: | Zhongrui Shi |
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| Institution: | a Department of Mathematics, Shanghai University, Shanghai 200444, PR Chinab College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, PR China |
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| Abstract: | We point out that uniform noncreasiness is a super-property in Banach spaces. Moreover, we prove that Orlicz-Bochner function spaces are noncreasy if and only if they are rotund or smooth. Finally, we obtain that Orlicz-Bochner function spaces are uniformly noncreasy if and only if they are uniformly rotund or uniformly smooth. |
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| Keywords: | 46B20 46E30 |
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