P-convexity of Musielak-Orlicz sequence spaces of Bochner type.
Pawel Kolwicz, Ryszard Pluciennik (1997)
Collectanea Mathematica
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Displaying similar documents to “Property and of Orlicz spaces”
P-convexity of Musielak-Orlicz sequence spaces of Bochner type.
Reflexive Orlicz spaces have uniformly normal structure
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.
Differentiability of Musielak-Orlicz sequence spaces
Ryszard Płuciennik, Yi Ning Ye (1989)
Commentationes Mathematicae Universitatis Carolinae
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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.
On K-nearly uniform convexity in Orlicz spaces.
Yunan Cui, Henryk Hudzik, Wang Ping (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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P-convexity property in Musielak-Orlicz sequence spaces.
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.
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.