On some convexities of Orlicz and Orlicz-Bochner spaces
S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On the moduli of convexity and smoothness in Orlicz spaces”
On some convexities of Orlicz and Orlicz-Bochner spaces
Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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On some convexity properties of Orlicz spaces of vector valued functions.
Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
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.
A characterization of Orlicz spaces isometric to Lp-spaces.
Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.
Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
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.