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| Weakly Convexity and Local Convexity of Orlicz Spaces | |
| 作者姓名： | 王廷辅 陈述涛 王玉文 |
| 摘 要： | The convexity of Orlicz spaces equipped with Luxemburg norm ||·||(M) andOrlicz norm ||·||_M respectively has been discussed for many years.In 1957,Milnesgave a criterion for uniform convexity of(L_M~*,||·||_M)with a long proof.In1965, Sundaresan proved that it was the same case for (L_M~*, ||·||_(M)). In 1976,Turett improved those results and investigated the rotundity of(L_M~*, ||·||_(M)).In1978,Wu Congxin,Zhao Shanzhong,Chen Jun’ao obtained other convenient crite- |
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