Geodesic
Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 95-102.

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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.
Classification : 45B20, 46E30
Keywords: Musielak-Orlicz function; Musielak-Orlicz space; support functional; smooth point; smooth space 
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     title = {Smooth points of the unit sphere in {Musielak-Orlicz} function spaces  equipped with the {Luxemburg} norm},
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Zbąszyniak, Zenon. Smooth points of the unit sphere in Musielak-Orlicz function spaces  equipped with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 95-102. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a9/