2019•arXiv (Cornell University)Open access
when do bounded homomorphisms and order bounded homomorphisms agree
Omid Zabeti
Open full text 0 citations
Abstract
Suppose $G$ is a locally solid lattice group. It is known that there are different types of bounded homomorphisms on $G$. In this paper, we investigate some conditions under which, each bounded homomorphism is order bounded and vice versa. Moreover, we give a similar observation for different kinds of bounded homomorphisms defined on a locally solid lattice ring.