Unbounded Order Continuous Abstract Uryson Operators

TURAN, BAHRİ; Tülü, D.

doi:10.1134/s0037446626020230

Unbounded Order Continuous Abstract Uryson Operators

TURAN B., Tülü D.

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

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.