Spectral theory for structured perturbations of linear operators
Spectral Theory
2016-10-05 v1
Abstract
We characterize the spectrum (and its parts) of operators which can be represented as G=A+BC for a simpler operator A and a structured perturbation BC. The interest in this kind of perturbations is motivated, e.g., by perturbations of the domain of an operator A but also arises in the theory of closed-loop systems in control theory. In many cases our results yield the spectral values of G as zeros of a "characteristic equation".
Cite
@article{arxiv.1606.05205,
title = {Spectral theory for structured perturbations of linear operators},
author = {Martin Adler and Klaus-Jochen Engel},
journal= {arXiv preprint arXiv:1606.05205},
year = {2016}
}