Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
Zbąszyniak, Zenon
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 95-102 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1994-01-01
Classification:  45B20,  46E30 
@article{118644,
     author = {Zenon Zb\k aszyniak},
     title = {Smooth points of the unit sphere in Musielak-Orlicz function spaces  equipped with the Luxemburg norm},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {95-102},
     zbl = {0823.46033},
     mrnumber = {1292586},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118644}
}

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) pp. 95-102. http://gdmltest.u-ga.fr/item/118644/

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