On the LURWC property of Orlicz sequence space.
Li Yanhong, Wang Tingfu (1997)
Collectanea Mathematica
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Necessary and sufficient conditions for URWC points and LURWC property are given in Orlicz sequence space lM.
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Li Yanhong, Wang Tingfu (1997)
Collectanea Mathematica
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Necessary and sufficient conditions for URWC points and LURWC property are given in Orlicz sequence space lM.
Tingfu Wang, Baoxiang Wang, Minli Li (1996)
Colloquium Mathematicae
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Bor-Luh Lin, Zhongrui Shi (1997)
Collectanea Mathematica
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We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
Henryk. Hudzik, Cong Xin Wu, Yi Ning Ye (1994)
Revista Matemática de la Universidad Complutense de Madrid
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Pawel. Kolwicz, Ryszard Pluciennik (1998)
Revista Matemática Complutense
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It is proved that the Musielak-Orlicz function space LF(mu,X) of Bochner type is P-convex if and only if both spaces LF(mu,R) and X are P-convex. In particular, the Lebesgue-Bochner space Lp(mu,X) is P-convex iff X is P-convex.
Bor-Luh Lin, Zhongrui Shi (1999)
Colloquium Mathematicae
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We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.
Zhongdao Ren, Shutao Chen (1997)
Collectanea Mathematica
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Estimation of the Jung constants of Orlicz function spaces equipped with either Luxemburg norm or Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz function spaces have been found by using a new quantitative index of N-functions.
Pawel Kolwicz, Ryszard Pluciennik (1997)
Collectanea Mathematica
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Zhongrui Shi, Tingfu Wang (1996)
Collectanea Mathematica
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We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
Shutao Chen, Huiying Sun (1994)
Studia Mathematica
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We prove that an Orlicz space equipped with the Luxemburg norm has uniformly normal structure if and only if it is reflexive.