Orlicz spaces with s-norms that are abstract M-spaces
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, cilt.44, sa.1-2, ss.219-233, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 1-2
- Basım Tarihi: 2025
- Doi Numarası: 10.4171/zaa/1764
- Dergi Adı: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.219-233
- İstanbul Üniversitesi Adresli: Evet
Özet
Let D be an Orlicz function and L(X, E, mu) the corresponding Orlicz space on a non- atomic, 6-finite, complete measure space (X, E, mu). We describe those Orlicz spaces equipped with s-norms that are abstract M-spaces. Our study generalizes and unifies the results that have been obtained for the Orlicz norm, the Luxemburg norm, and the p-Amemiya norms separately.