Displaying similar documents to “On the WM points of Orlicz function spaces endowed with Orlicz norm.”

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.

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.