On Products of Orlicz Spaces.
T. ANDÔ (1960)
Mathematische Annalen
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T. ANDÔ (1960)
Mathematische Annalen
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Ryszard Płuciennik (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Zenon Zbąszyniak (1994)
Commentationes Mathematicae Universitatis Carolinae
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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.
Henryk Hudzik, Zenon Zbaszyniak (1997)
Collectanea Mathematica
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A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.
H. Hudzik, A. Kaminska, J. Musielak (1988)
Mathematische Zeitschrift
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L. Drewnowski, I. Labuda (1981)
Colloquium Mathematicae
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Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.