Non-squareness properties of Orlicz spaces equipped with the -Amemiya norm
✍ Scribed by Yunan Cui; Henryk Hudzik; Marek Wisła; Karol Wlaźlak
- Book ID
- 113811692
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 321 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0362-546X
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📜 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.
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