P-convexity of Musielak-Orlicz sequence spaces of Bochner type.
Pawel Kolwicz, Ryszard Pluciennik (1997)
Collectanea Mathematica
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Pawel Kolwicz, Ryszard Pluciennik (1997)
Collectanea Mathematica
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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.
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.
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.
Tingfu Wang, Baoxiang Wang, Minli Li (1996)
Colloquium Mathematicae
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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.
Ye Yining, Huang Yafeng (1993)
Collectanea Mathematica
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We prove that in the Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, P-convexity coincides with reflexivity.
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.
Tingfu. Wang, Zongrui Shi, Cuixia Hao (1996)
Collectanea Mathematica
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In this paper, we introduce the concept of WM point and obtain the criterion of WM points for Orlicz function spaces endowed with Orlicz norm and the criterion of WM property for Orlicz 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.