Extreme points in Orlicz spaces equipped with s-norms and closedness

Basar E., ÖZTOP KAPTANOĞLU S., UYSAL B. H., Yasar S.

MATHEMATISCHE NACHRICHTEN, cilt.296, sa.11, ss.5042-5062, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 296 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mana.202200374
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.5042-5062
  • 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). We describe the extreme points of unit ball of Orlicz spaces equipped with the sigma-norm. We also investigate the closedness of the set of extreme points of unit ball. Our study generalizes and unifies the results that have been obtained for the Orlicz norm, the Luxemburg norm and the p-Amemiya norm separately. We further classify the outer functions that generate..-norms with respect to a constant.