Some basic properties of generalized Calderon-Lozanovskiî.
Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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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.
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.
Weiss, Guido (1956)
Portugaliae mathematica
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Henryk Hudzik (1985)
Studia Mathematica
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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.
(1990)
Studia Mathematica
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Pawel Kolwicz, Ryszard Pluciennik (1997)
Collectanea Mathematica
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Lech Drewnowski (2000)
Revista Matemática Complutense
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A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L (lambda) is subseries convergent if each of its lacunary subseries converges.
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.