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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Displaying similar documents to “On some convexities of Orlicz and Orlicz-Bochner spaces”
On some convexity properties of Orlicz spaces of vector valued functions.
Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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Uniform non-squareness and property of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm
Fatiha Boulahia, Mohamed Morsli (2010)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.
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.
On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
Paweł Kolwicz (2005)
Banach Center Publications
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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].