论文标题
Krengel定理用于本地固体矢量晶格之间的紧凑型操作员
The Krengel's theorem for compact operators between locally solid vector lattices
论文作者
论文摘要
假设$ x $是本地固体矢量晶格。众所周知，紧凑型运营商在$ x $上有几个非等效概念。此外，最近考虑了Banach Lattices的$ AM $ $ $空间的$ AM $ $ property的概念。在本文中，我们建立了已知的Krengel定理的变体，用于在本地实心矢量晶格之间的不同类型的紧凑型操作员。
Suppose $X$ is a locally solid vector lattice. It is known that there are several non-equivalent notions for compact operators on $X$. Furthermore, notion of the $AM$-property in $X$ as an extension for the $AM$-spaces in Banach lattices has been considered, recently. In this paper, we establish a variant of the known Krengel's theorem for different types of compact operators between locally solid vector lattices.
