The converse of the Cowling--Obrechkoff--Thron theorem
Rings and Algebras
2025-04-30 v3 Spectral Theory
Abstract
In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celebrated eigenvalue inequality for matrices whose principal minors are positive or nonnegative.
Keywords
Cite
@article{arxiv.2303.12852,
title = {The converse of the Cowling--Obrechkoff--Thron theorem},
author = {Devon N. Munger and Pietro Paparella},
journal= {arXiv preprint arXiv:2303.12852},
year = {2025}
}