Groups of matrices with approximately submultiplicative spectra
Representation Theory
2025-09-17 v4 Group Theory
Abstract
We say that a semigroup of matrices has a submultiplicative spectrum if the spectrum of the product of any two elements of the semigroup is contained in the product of the two spectra in question (as sets). In this note we explore an approximate version of this condition.
Cite
@article{arxiv.2410.02617,
title = {Groups of matrices with approximately submultiplicative spectra},
author = {Mitja Mastnak and Lindsey McNamara and Zhipeng Yu},
journal= {arXiv preprint arXiv:2410.02617},
year = {2025}
}
Comments
minor changes from previous versions