The Class of Demi-Order Norm Continuous Operators

Year 2023, Volume: 36 Issue: 4, 1693 - 1698, 01.12.2023

Gül Sinem Keleş , Birol Altın

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

Cited By: 2

https://izlik.org/JA46EC79KM

Abstract

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.

Keywords

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

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