On Abstract Spectral Constants
Functional Analysis
2023-02-13 v1 Numerical Analysis
Numerical Analysis
Operator Algebras
Spectral Theory
Abstract
We prove bounds for a class of unital homomorphisms arising in the study of spectral sets, by involving extremal functions and vectors. These are used to recover three celebrated results on spectral constants by Crouzeix--Palencia, Okubo--Ando and von Neumann in a unified way and to refine a recent result by Crouzeix--Greenbaum.
Cite
@article{arxiv.2302.05389,
title = {On Abstract Spectral Constants},
author = {Felix L. Schwenninger and Jens de Vries},
journal= {arXiv preprint arXiv:2302.05389},
year = {2023}
}
Comments
14 pages