On the Duality Mapping Sets in Orlicz Sequence Spaces
β Scribed by Bao Xiang Wang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2001
- Tongue
- English
- Weight
- 166 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
## Abstract The aim of the paper is to give necessary and sufficient conditions under which the set of extreme points of the unit ball of an Orlicz space __L__^Ο^(ΞΌ), equipped with the Luxemburg norm, is closed. Using that description a theorem is given saying when the notions βextremalβ and βniceβ
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
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
## Abstract We introduce the notions of __X__~d,s(x),Ο~βlinear multifunctional and __X__~d,s(x),Ο~βlinear continuous multifunctional. We generalize the theorems on linear bounded functionals in the MusielakβOrlicz space.