Scholarlink

<p>This paper investigates the class of unbounded order continuous operators between Riesz spaces. We extend the fundamental result of Bahramnezhad and Haghnejad Azar, which established that for order bounded linear functionals, unbounded order continuity is equivalent to the unbounded order continuity of its modulus. Our main contribution generalises this characterisation to operators by given some conditions on the arrival space. Furthermore, we explore the relationships between unbounded order continuous operators and other important operator classes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Some results on unbounded order continuous operators

  • 期刊论文

  • 发表日期：

    2026年1月30日

查看全文
  • Mohammed El Amrani,
  • Larbi Zraoula,
  • Hassan Khabaoui,
  • Bouazza El Wahbi

摘要

This paper investigates the class of unbounded order continuous operators between Riesz spaces. We extend the fundamental result of Bahramnezhad and Haghnejad Azar, which established that for order bounded linear functionals, unbounded order continuity is equivalent to the unbounded order continuity of its modulus. Our main contribution generalises this characterisation to operators by given some conditions on the arrival space. Furthermore, we explore the relationships between unbounded order continuous operators and other important operator classes.