The Class of Demi-Order Norm Continuous Operators

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

References

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