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Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm. (English) Zbl 0721.46012
Summary: Support functionals in Musiełak-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 smoothness of these spaces are given, too.

MSC:
46B20 Geometry and structure of normed linear spaces
46B25 Classical Banach spaces in the general theory
46B45 Banach sequence spaces
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