论文标题
弱的无限规范拓扑和Dounford-Pettis运营商
Weak Unbounded Norm Topology and Dounford-Pettis Operators
论文作者
论文摘要
在本文中，我们研究了Banach Lattice $ e $的$ un $ dual（符号，$ \ ud {e} $），并将其与拓扑二$ e^*$进行比较。如果$ e^* $具有连续的订单，则$ e^* = \ ud {e} $。我们在Banach Lattices上介绍和研究弱无限的规范拓扑（$ WUN $ - 学），并将其与较弱的拓扑和$ UAW $ - 学术相提并论。在决赛中，我们介绍并研究了Banach Lattice $ e $ $ $ $ $ $ $的$ WUN $ -DUNFORD-PETTIS OTERTOR，并调查了其一些物业及其与其他知名运营商的关系。
In this paper, we study $un$-dual (in symbol, $\ud{E}$) of Banach lattice $E$ and compare it with topological dual $E^*$. If $E^*$ has order continuous norm, then $E^* = \ud{E}$. We introduce and study weakly unbounded norm topology ($wun$-topology) on Banach lattices and compare it with weak topology and $uaw$-topology. In the final, we introduce and study $wun$-Dunford-Pettis opertors from a Banach lattice $E$ into Banach space $X$ and we investigate some of its properties and its relationships with others known operators.
