Strict convexity of Orlicz spaces under renorming
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.546, sa.2, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 546 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.1016/j.jmaa.2025.129236
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- İstanbul Üniversitesi Adresli: Evet
Özet
Let Phi be an Orlicz function and L Phi ( X, Sigma, mu ) be the corresponding Orlicz space on a non-atomic, sigma- finite, complete measure space ( X, Sigma, mu ). It is known that strict convexity of the whole spaces are the most essential and important geometric notion in the geometric theory of Banach spaces. So, we describe the strict convexity of Orlicz spaces equipped with the s- norm and some of its consequences. On the other hand, it is known that the geometric properties of Orlicz space depends on the norm. Thus, our study generalizes and unifies the results that have been obtained for the Orlicz norm, the Luxemburg norm and the p- Amemiya norm separately. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.