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 ...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.展开更多
文摘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.