Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they differ.
@article{119047, author = {Ji Donghai and Yanming L\"u and Ting Fu Wang}, title = {Nearly smooth points and near smoothness in Orlicz spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {39}, year = {1998}, pages = {721-732}, zbl = {1060.46510}, mrnumber = {1715461}, language = {en}, url = {http://dml.mathdoc.fr/item/119047} }
Donghai, Ji; Lü, Yanming; Wang, Ting Fu. Nearly smooth points and near smoothness in Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 721-732. http://gdmltest.u-ga.fr/item/119047/
Compactness conditions in the geometric theory of Banach spaces, Nonlinear Anal. 16 (1991), 7-8 669-682. (1991) | MR 1097324
Near smoothness of Banach spaces, Collect. Math. 46 (1995), 279-287. (1995) | MR 1380368
Convex Function and Orlicz Spaces, Groningen, 1961.
Orlicz spaces and modular spaces, Lecture Notes in Math. 1034, Springer, 1983. | MR 0724434 | Zbl 0557.46020
Geometry of Orlicz spaces, Dissertationes Math. 356, Warsaw, 1996. | MR 1410390 | Zbl 1089.46500
Support functionals and smooth points in Orlicz function spaces equipped with the Orlicz norm, Math. Japonica 39.2 (1994), 271-279. (1994) | MR 1270637 | Zbl 0804.46035
Smooth points in Orlicz sequence spaces and geometry of the dual and bidual of Orlicz spaces, Math. Japonica 44.2 (1996), 367-375. (1996) | MR 1416279