Order almost DUNFORD-PETTIS Operators on Banach lattices
Functional Analysis
2015-02-03 v1
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.
Keywords
Cite
@article{arxiv.1502.00369,
title = {Order almost DUNFORD-PETTIS Operators on Banach lattices},
author = {H. Ardakani and S. M. S. Modarres Mosadegh},
journal= {arXiv preprint arXiv:1502.00369},
year = {2015}
}