Academic Journal
Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition
| العنوان: | Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition |
|---|---|
| المؤلفون: | Anna Denkowska |
| المصدر: | Opuscula Mathematica, Vol 33, Iss 4, Pp 667-684 (2013) |
| بيانات النشر: | AGH Univeristy of Science and Technology Press, 2013. |
| سنة النشر: | 2013 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: | Musielak-Orlicz sequence spaces, one-complemented subspaces, contractive and optimal sets, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: | In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order to compare contractive and optimal sets in finite-dimensional Musielak-Orlicz \(\ell^{(n)}_\Phi\) spaces in the spirit of Kamińska-Lewicki. We also give an example illustrating the importance of the smoothness assumptions in our theorem. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1232-9274 |
| Relation: | http://www.opuscula.agh.edu.pl/vol33/4/art/opuscula_math_3337.pdf; https://doaj.org/toc/1232-9274 |
| DOI: | 10.7494/OpMath.2013.33.4.667 |
| URL الوصول: | https://doaj.org/article/e1773c9701114d4da6c64376bacb2a45 |
| رقم الانضمام: | edsdoj.1773c9701114d4da6c64376bacb2a45 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 12329274 |
|---|---|
| DOI: | 10.7494/OpMath.2013.33.4.667 |