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

Author(s):

Mohammadali Ranjbar , Seyyed Hassan Myrnouri *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

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.

Keywords:

ℓ-Group. Unital ℓ-Group , Order Unit , Locally Compact Group , Haar Measure , Riesz Algebra , Topological Lattice-Ordered Ring

Language:
Persian
Published:
نشریه جبرهای اندازه و کاربردها, Volume:2 Issue: 1, 2024
Pages:
1 to 13
https://www.magiran.com/p2799008