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O-convexity of Orlicz-Bochner Spaces with Orlicz Norm

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【作者】 ZHOU CHENG-HUAGONG WAN-ZHONGZHANG DAO-XIANG

【Author】 ZHOU CHENG-HUA;GONG WAN-ZHONG;ZHANG DAO-XIANG;Department of Mathematics, Anhui Normal University;

【通讯作者】 GONG WAN-ZHONG;

【机构】 Department of Mathematics, Anhui Normal University

【摘要】 In this paper we give some characterizations of O-convexity of Banach spaces, and show the criteria for O-convexity in Orlicz-Bochner function space L_M(μ, X) and Orlicz-Bochner sequence space l_M(X_s) endowed with Orlicz norm.Moreover, we give a sufficient condition for the dual of such a space to have the fixed point property.

【基金】 The NSF(11771273,11302002)of China
  • 【DOI】10.13447/j.1674-5647.2018.03.08
  • 【分类号】O177.2
  • 【下载频次】9
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