Title of article :
Order Almost Dunford-Pettis Operators on Banach Lattices
Ardakani, Halimeh Department of Mathematics - Yazd University , Modarres Mosadegh, S. M. Sadegh Department of Mathematics - Yazd University
Abstract. By introducing the concepts of order almost Dunford-Pettis
and almost weakly limited operators in Banach lattices, we give some
properties of them related to some well known classes of operators, such as, order weakly compact, order Dunford-Pettis, weak and almost Dunford-Pettis and weakly limited operators. Then, we characterize Banach lat-tices E and F on which each operator from E into F that is order almost Dunford-Pettis and weak almost Dunford-Pettis is an almost weakly lim-ited operator.
Almost Dunford-Pettis set , Weakly limited operator , Order Dunford-Pettis operator
Journal title :