This is an announcement for the paper "Order almost Dunford-Pettis Operators on Banach lattices" by H. Ardakani and S.M.S. Modarres Mosadegh.

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 lattices 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 limited operator.

Archive classification: math.FA

Submitted from: h_ardakani@stu.yazd.ac.ir

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1502.00369

or

http://arXiv.org/abs/1502.00369