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A class of complex quasi-Orlicz spaces and their analytic RN property
Authors:Liu Peide  Hou Youliang
Institution:(1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China
Abstract:LetX be a complex quasi-Banach space and Φ:0,∞)→0,∞) an increasing convex function with Φ(0)=0, 
$$\mathop {\lim }\limits_{t - \infty } \emptyset (t) = \infty $$
and Φ∈Δ2. ThenL Φ * (X) is a quasi-Banach space with continuous quasi-norm andL Φ * (X) has the ARNP if and only ifX does. Supported by the National Natural Science Foundation of China Liu Peide: born in 1943, Professor
Keywords:Orlicz space  quasi-Banach space  analytic RN property  analytic martingale
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