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Differentiability of Musielak-Orlicz sequence spaces. (English) Zbl 0706.46022
Summary: A sufficient and necessary condition of differentiability of Musielak- Orlicz sequence spaces and the expression of gradient are obtained. These results are nontrivial and important generalizations of previous results from the paper [J. Harbin Univ. Sci. tech. 2, 114-118 (1987; Zbl 0653.46029)] written in Chinese by Yining Ye.
MSC:
46B45 Banach sequence spaces
46B25 Classical Banach spaces in the general theory
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