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Hudzik, Henryk ; Ye, Yi Ning
Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 661-684
MSC: 46A45, 46B20, 46B25, 46B45 | MR 1091364 | Zbl 0721.46012
Keywords:
Musielak-Orlicz spaces; support functionals; smoothness
Summary:
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.
Related articles:
Correction to the paper: Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
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