Nearly smooth points and near smoothness in Orlicz spaces

Ji Donghai; Yanming Lü; Ting Fu Wang

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 4, page 721-732
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Donghai, Ji, Lü, Yanming, and Wang, Ting Fu. "Nearly smooth points and near smoothness in Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 721-732. <http://eudml.org/doc/248247>.

@article{Donghai1998,
abstract = {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.},
author = {Donghai, Ji, Lü, Yanming, Wang, Ting Fu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz space; nearly smooth points; near smoothness; Orlicz space; nearly smooth points; near smoothness},
language = {eng},
number = {4},
pages = {721-732},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nearly smooth points and near smoothness in Orlicz spaces},
url = {http://eudml.org/doc/248247},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Donghai, Ji
AU - Lü, Yanming
AU - Wang, Ting Fu
TI - Nearly smooth points and near smoothness in Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 4
SP - 721
EP - 732
AB - 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.
LA - eng
KW - Orlicz space; nearly smooth points; near smoothness; Orlicz space; nearly smooth points; near smoothness
UR - http://eudml.org/doc/248247
ER -

References

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  1. Banaś F., Compactness conditions in the geometric theory of Banach spaces, Nonlinear Anal. 16 (1991), 7-8 669-682. (1991) MR1097324
  2. Banaś F., Sadarangani K., Near smoothness of Banach spaces, Collect. Math. 46 (1995), 279-287. (1995) MR1380368
  3. Krasnosel'skii M.A., Rutickii Ya.B., Convex Function and Orlicz Spaces, Groningen, 1961. 
  4. Musielak J., Orlicz spaces and modular spaces, Lecture Notes in Math. 1034, Springer, 1983. Zbl0557.46020MR0724434
  5. Chen Shutao, Geometry of Orlicz spaces, Dissertationes Math. 356, Warsaw, 1996. Zbl1089.46500MR1410390
  6. Chen S., Hudzik H., Kaminska A., Support functionals and smooth points in Orlicz function spaces equipped with the Orlicz norm, Math. Japonica 39.2 (1994), 271-279. (1994) Zbl0804.46035MR1270637
  7. Chen S., Hudzik H., Wisła M., Smooth points in Orlicz sequence spaces and geometry of the dual and bidual of Orlicz spaces, Math. Japonica 44.2 (1996), 367-375. (1996) MR1416279

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