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-  2018 

赋Luxemburg范数下Orlicz-Bochner 空间的O-凸性
O-convexity of Orlicz-Bochner spaces with the Luxemburg norm

DOI: 10.6040/j.issn.1671-9352.0.2017.507

Keywords: Orlicz-Bochner序列空间,Luxemburg范数,O-凸性,Orlicz-Bochner函数空间,
Orlicz-Bochner function space
,Orlicz-Bochner sequence space,Luxemburg norm,O-convexity

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Abstract:

摘要: 给出了Banach空间中O-凸性的一些特征,由此得到了赋Luxemburg范数下Orlicz-Bochner序列空间及函数空间具有O-凸性的充要条件。
Abstract: Some characterizations of O-convexity in Banach space are given. Using these characterizations, the criteria is obtained for O-convex of Orlicz-Bochner spaces endowed with the Luxemburg norm

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