Geodesic
Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 661-684.

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Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness of these spaces are given, too.
Classification : 46A45, 46B20, 46B25, 46B45
Keywords: Musielak-Orlicz spaces; support functionals; smoothness 
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     author = {Hudzik, Henryk and Ye, Yi Ning},
     title = {Support functionals and smoothness in {Musielak-Orlicz} sequence spaces endowed with the {Luxemburg} norm},
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Hudzik, Henryk; Ye, Yi Ning. Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 661-684. http://geodesic.mathdoc.fr/item/CMUC_1990__31_4_a6/