JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (6): 44-52.doi: 10.6040/j.issn.1671-9352.0.2017.507

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O-convexity of Orlicz-Bochner spaces with the Luxemburg norm

  

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2017-09-27 Online:2018-06-20 Published:2018-06-13

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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.

Key words: Orlicz-Bochner function space, Orlicz-Bochner sequence space, Luxemburg norm, O-convexity

CLC Number: 

  • O177.2
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