On the L_p(G) spaces as topological lattice vector groups

نویسندگان

1 Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

2 Teacher and free researcher

doi
10.22091/maa.2024.10266.1013
چکیده

In this paper, we consider the L_p(G) spaces with pointwise ordering as Riesz spaces and investigate some lattice group topologies on them. In many cases, these topologies which are called link topologies or positive filter topologies are not vector topologies in the sense that the scalar multiplication is not continuous with respect to them, but they have many useful properties.