Rotundity of finite-diii~eilsioiial Orlin spaces 1: equipped with the Luxemburg nomi is considered. It is proved that criteria for rotundity of 1: for 11 2 3 does not depend on 11 and are the same as the criteria for rotundity of the inhite-dimensional subspace h\* of an Orlicz sequence ~p a c e . 1
On Some Local Geometry of Orlicz Sequence Spaces Equipped with the Luxemburg Norm
✍ Scribed by Y. Cui; H. Hudzik; C. Meng
- Book ID
- 110237537
- Publisher
- Akadmiai Kiad
- Year
- 1998
- Tongue
- English
- Weight
- 464 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Smooth points of the unit sphere of ORLICZ spaces equipped with LUXEMBURG norm are characterized for a non‐atomic measure as well as for the counting measure. As a corollary, a criterion of smoothness of ORLICZ spaces with LUXEMBURG norm is obtained.
## Abstract In this paper, we shall give a criteria of the rotundity and uniform rotundity of Orlicz‐Lorentz sequence spaces equipped with the Orlicz norm.
In this paper, a criterion for locally uniformly rotund points and weakly locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm is given. As a corollary, we get the criterion in order that Musielak-Orlicz sequence spaces equipped with the Orlicz norm are lo