Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm

Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
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发表时间：
1990
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通讯作者：
H. Hudzik;Y. Ye
H. Hudzik;Y. Ye
中科院分区：
其他
文献类型：
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作者：
H. Hudzik;Y. Ye

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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.