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<p>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&#xa0;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&#xa0;particular, we demonstrate that these two notions do not coincide in general and provide examples illustrating this phenomenon.</p>

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Unbounded Order Continuous Abstract Uryson Operators

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • B. Turan,
  • D. Tülü

摘要

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.