First, we extend the criteria for smooth points of $S(L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_{M})$.
@article{119263, author = {Henryk Hudzik and L. Wang and Ting Fu Wang}, title = {Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {42}, year = {2001}, pages = {487-497}, zbl = {1056.46030}, mrnumber = {1860237}, language = {en}, url = {http://dml.mathdoc.fr/item/119263} }
Hudzik, Henryk; Wang, L.; Wang, Ting Fu. Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 487-497. http://gdmltest.u-ga.fr/item/119263/
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