The Krengel's theorem for compact operators between locally solid vector lattices

Omid Zabeti

paper

The Krengel's theorem for compact operators between locally solid vector lattices

arXiv:2201.12429

Abstract

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 $A M$ -property in $X$ as an extension for the $A M$ -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.

4 pages