ON LOCAL CONVEXITIES OF ORLICZ SPACES ENDOWED WITH s-NORMS
COLLOQUIUM MATHEMATICUM, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.4064/cm9702-10-2025
- Dergi Adı: COLLOQUIUM MATHEMATICUM
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- İstanbul Üniversitesi Adresli: Evet
Özet
Let Phi be an Orlicz function and L Phi (X, Sigma, & micro;) be the corresponding Orlicz space on a non-atomic, sigma-finite, complete measure space (X, Sigma, & micro;). We describe the local uniform convexity of Orlicz spaces endowed with the s-norm and discuss the weak and compact variants of this property. Also, we derive some results in approximation theory, concerning best approximations and farthest points. Thus, our study provides a comprehensive generalization of several results that have been obtained for Orlicz spaces with the Orlicz norm and the Luxemburg norm.