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

Document Type : Original Article

Authors

1 Teacher and free researcher

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

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.

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References

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History

  • Receive Date: 31 December 2023
  • Revise Date: 01 March 2024
  • Accept Date: 15 June 2024

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