The completely continuous property in Orlicz spaces.
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.
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.
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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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.
Yunan Cui, Henryk Hudzik, Wang Ping (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Tingfu Wang, Baoxiang Wang, Minli Li (1996)
Colloquium Mathematicae
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Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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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.
Henryk. Hudzik, Cong Xin Wu, Yi Ning Ye (1994)
Revista Matemática de la Universidad Complutense de Madrid
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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.