Unbounded absolutely weak Dunford-Pettis operators

Authors : Nazife Erkurşun Özcan, Niyazi Anil Gezer, Omid Zabeti

Pages : 2731-2740

View : 12 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators. We show that the square of any positive uaw-Dunford-Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Many examples are given to illustrate the essential conditions.
Keywords : uaw-Convergence, uaw-Dunford-Pettis operator, Banach lattice