Lorentz and Gale-Ryser theorems on general measure spaces
Functional Analysis
2021-06-28 v2
Abstract
Based on the Gale-Ryser theorem for the existence of suitable -matrices for different partitions of a natural number, we revisit the classical result of G. G. Lorentz regarding the characterization of a plane measurable set, in terms of its cross sections, and extend it to general measure spaces.
Cite
@article{arxiv.2103.04292,
title = {Lorentz and Gale-Ryser theorems on general measure spaces},
author = {Santiago Boza and Martin Křepela and Javier Soria},
journal= {arXiv preprint arXiv:2103.04292},
year = {2021}
}