The Class of Demi-Order Norm Continuous Operators

The Class of Demi-Order Norm Continuous Operators

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.

___

  • [1] Petryshyn, W.V., “Construction of fixed points of demicompact mappings in Hilbert space”, Journal of Mathematical Analysis and Applications, 14(2): 276-284, (1966).
  • [2] Krichen, B., O’Regan, D., “Weakly demicompact linear operators and axiomatic measures of weak noncompactness”, Mathematica Slovaca, 69(6): 1403-1412, (2019).
  • [3] Benkhaled, H., Hajji, M., Jeribi, A., “On the class of Demi Dunford- Pettis Operators”, Rendiconti del Circolo Matematico di Palermo, Ser.2, 1-11, (2022).
  • [4] Benkhaled, H., Elleuch, A., Jeribi, A., “The class of order weakly demicompact operators”, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A Matemáticas., 114(2): 1-8, (2020).
  • [5] Jalili, A., Haghnejad, K., Moghimi, M., “Order-to-topology continuous operators”, Positivity, 25(2): 1-10, (2021).
  • [6] Aliprantis, C.D., Burkinshaw, O., Positive Operators, 119, Berlin, (2006).
Gazi University Journal of Science-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 1988
  • Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü
Sayıdaki Diğer Makaleler

Effect of Pressure on Electronic, Mechanical and Dynamic Properties for Orthorhombic WP

Ceren TAYRAN, Mehmet ÇAKMAK

A Comprehensive Review of Feature Selection and Feature Selection Stability in Machine Learning

Mustafa BÜYÜKKEÇECİ, Mehmet Cudi OKUR

Classes of Population Mean Estimators using Transformed Variables in Double Sampling

Natthapat THONGSAK, Nuanpan LAWSON

Ascorbic Acid Enhances the Metabolic Activity, Growth and Collagen Production of Human Dermal Fibroblasts Growing in Three-dimensional (3D) Culture

Serkan DİKİCİ

Alternative Support Material to Platinum Catalyst Used for Oxygen Reduction Reaction: Nonporous Carbon

Ayşenur ÖZTÜRK, Ayşe BAYRAKÇEKEN YURTCAN

Phytochemical Screening and Antibacterial Activity of Lignosus rhinocerotis (Cooke) Ryvarden Grown in Open Field and Indoor

Nurkhalida KAMAL, Hazniza ADNAN, Jalifah LATİP

Investigation of Hydrogen Diffusion Profile of Different Metallic Materials for a Better Understanding of Hydrogen Embrittlement

Mehmet Fazil KAPCİ, Burak BAL

Discretization and Stability Analysis for a Generalized Type Nonlinear Pharmacokinetic Models

Mehmet KOCABIYIK, Mevlüde YAKIT ONGUN

Investigation of the Interaction of Adipose-Derived Mesenchymal Stem Cells with ε-Polycaprolactone and Egg White Scaffolds

Olga Nehir ÖZTEL, Hilal YILMAZ, İsmail Alper İŞOĞLU, Adil ALLAHVERDİYEV

Review of the Definition of Weld Penetration, Depth of Fusion and Throat Thickness on Fillet Welds

Umut Yaşar UZUNALİ, Hamdullah ÇUVALCI