Displaying similar documents to “On the LURWC property of Orlicz sequence space.”

On the WM points of Orlicz function spaces endowed with Orlicz norm.

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.

Some Structures Related to Metric Projections in Orlicz Spaces

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.

Jung constants of Orlicz function spaces.

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.

P-convexity of Musielak-Orlicz function spaces of Bochner type.

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.