The Class of Demi-Order Norm Continuous Operators

Yıl 2023, Cilt: 36 Sayı: 4, 1693 - 1698, 01.12.2023

Gül Sinem Keleş Birol Altın

https://doi.org/10.35378/gujs.1098503

Öz

In this paper, we introduce the class of demi-order norm continuous operator on a normed Riesz space. We study the relationship between order-to-norm continuous operator and demi-order norm continuous operator. We also investigate some properties of the class of demi-order norm continuous operator, and it is given a characterization of a normed Riesz space with order continuous norm by the term of the demi-order norm continuous operator.

Anahtar Kelimeler

Order continuous norm, Normed Riesz Space, Demi-order norm continuous operator

Kaynakça

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