Unbounded Order Continuous Abstract Uryson Operators

TURAN B., Tülü D.

Siberian Mathematical Journal, cilt.67, sa.2, ss.507-516, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1134/s0037446626020230
  • Dergi Adı: Siberian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.507-516
  • Anahtar Kelimeler: 517.98, abstract Uryson operator, order continuous abstract Uryson operator, orthogonally additive operator, Riesz space, unbounded order continuous abstract Uryson operator
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we study unbounded order continuous abstract Uryson operatorsbetween Riesz spaces.We show that the space of unbounded order continuous abstract Uryson operators forms a Riesz subspace under suitable conditions.We also study several basic structural properties of such operators and analyze the relationship between order continuity andunbounded order continuity.In particular, we demonstrate that these two notions do not coincide in general and provide examples illustrating this phenomenon.