论文标题
在订单类别上，并订购m weakly紧凑型操作员
On the class of order L-weakly and order M-weakly compact operators
论文作者
论文摘要
在本文中，我们介绍并研究了订单的新概念，并订购了紧凑的操作员。结果，我们获得了具有连续规范的Banach晶格的一些特征，或者其拓扑二元组具有连续规范。事实证明，如果$ t：e \ longrightArrow f $是两个Banach晶格之间的操作员，那么当它的伴随t'是订单的订单时，t是紧凑的，t是紧凑的。另外，我们表明，如果它的伴随t'是序列的紧凑，则t是顺序紧凑。还获得了一些相关的结果。
In this paper, we introduce and study new concepts of order L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms. It is proved that if $T : E \longrightarrow F$ is an operator between two Banach lattices, then T is order M-weakly compact if and only if its adjoint T' is order L-weakly compact. Also, we show that if its adjoint T' is order M-weakly compact, then T is order L-weakly compact. Some related results are also obtained.
