Kippenhahn Varieties and the Weyl Calculus for Several Matrices I
Functional Analysis
2022-04-18 v2 Algebraic Geometry
Complex Variables
Abstract
The paper reviews properties of the Weyl functional calculus for several operators and its relation to the generalised numerical range of hermitian matrices. The support and singular support of the Weyl functional calculus for hermitian matrices are determined by Kippenhahn varieties in algebraic geometry.
Keywords
Cite
@article{arxiv.2108.09863,
title = {Kippenhahn Varieties and the Weyl Calculus for Several Matrices I},
author = {Brian Jefferies},
journal= {arXiv preprint arXiv:2108.09863},
year = {2022}
}