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Two Geometrical Properties of Vector-Valued Musielak-Orlicz Spaces

HOU You-liang, LIU Pei-de (College of Mathematical Sciences, Wuhan University, Wuhan 430072, China)  
Let X be a complex Banach space and M(t,u) a Φ-function with parameter t satisfing some usual conditions. We proved: (i) The Musielak-Orlicz space L_M (X) is an analytic UMD space if and only if X is an analytic UMD space, too. ii) L_M(X) has the analytic RN property if and only X does.
【Fund】: the National Natural Science Foundation of China
【CateGory Index】: O177
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