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O-convexity of Orlicz-Bochner Spaces with Orlicz Norm

O-convexity of Orlicz-Bochner Spaces with Orlicz Norm
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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 LM(μ, X) and Orlicz-Bochner sequence space lM(Xs) endowed with Orlicz norm.Moreover, we give a sufficient condition for the dual of such a space to have the fixed point property. 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 LM(μ, X) and Orlicz-Bochner sequence space lM(Xs) endowed with Orlicz norm.Moreover, we give a sufficient condition for the dual of such a space to have the fixed point property.
出处 《Communications in Mathematical Research》 CSCD 2018年第3期261-277,共17页 数学研究通讯(英文版)
基金 The NSF(11771273,11302002)of China
关键词 O-convexity Orlicz norm Orlicz-Bochner sequence space Orlicz-Bochner function space O-convexity Orlicz norm Orlicz-Bochner sequence space Orlicz-Bochner function space
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