English

A note on product of measures

Functional Analysis 2018-10-30 v1

Abstract

A slight modification to Halmos' definition of product of measures yields a uniquely characterized associative product. The operation applies to arbitrary (not necessarily σ\sigma-finite) measures and is consistent with the Fubini--Tonelli theorem.

Keywords

Cite

@article{arxiv.1810.11485,
  title  = {A note on product of measures},
  author = {Grzegorz Andrzejczak},
  journal= {arXiv preprint arXiv:1810.11485},
  year   = {2018}
}