English

The translation invariant product measure problem in non-sigma finite case

General Mathematics 2023-10-02 v1

Abstract

We give an example of non-translation invariant product measure obtained from two translation invariant measures, one of which is non-sigma finite. This particular example also suggests that there can be infinitely many product measures if we abandon the sigma-finiteness assumption.

Keywords

Cite

@article{arxiv.2309.17247,
  title  = {The translation invariant product measure problem in non-sigma finite case},
  author = {Nicha Khenkhok},
  journal= {arXiv preprint arXiv:2309.17247},
  year   = {2023}
}

Comments

3 pages