Lattice renormings of $C_0(X)$ spaces
Functional Analysis
2024-05-21 v1
Abstract
Suppose is a locally compact Polish space, and is a group of lattice isometries of which satisfies certain conditions. Then we can equip with an equivalent lattice norm so that is the group of lattice isometries of . As an application, we show that for any locally compact Polish group there exists a locally compact Polish space , and an lattice norm on , so that is the group of lattice isometries of .
Keywords
Cite
@article{arxiv.2405.11148,
title = {Lattice renormings of $C_0(X)$ spaces},
author = {Timur Oikhberg and Mary Angelica Tursi},
journal= {arXiv preprint arXiv:2405.11148},
year = {2024}
}