中文摘要：

文章用AM-紧性来刻画ODP（Order Dunford-Pettis）算子，然后刻画了序弱紧算子、AM-紧算子和ODP算子三者之间的本质区别和联系。主要研究了ODP算子的格性质，亦即ODP算子T模｜T｜存在且为ODP算子的条件以及算子模｜T｜有ODP算子T的条件，得到一些基础性结论。

英文摘要：

This article first depicts （Order Dunford-Pettis） operator by AM-compact property, then portrays the essential differences and relations between the order weak compact operator, the AM-compact operator and the ODP operator. The focus is on the lattice property of ODP operator, that is, the ODP operator module exists as the condition of ODP operator and the operator module has the condition of ODP operator T, thus some basic conclusions have been reached.