给出Banach格中(几乎)极限集的特征及应用.Banach格中的一些常见性质如正Schur性质和双序列性质将用(几乎)极限集和(几乎)Dunford-Pettis集进行刻画.
Some characterizations and applications of the (almost) limited sets in Banach lattices are given. Some well known properties in Banach lattices such as the positive Schur property and the hi-sequence property are characterized by using (almost) limited sets and Dunford-Pettis sets.