Spectral instabilities: variations on a theme loved by Brian Davies
Albrecht Böttcher
Technische Universität Chemnitz, Germany
Abstract
Minor perturbations to a linear operator may drastically change its spectrum, and hence the difficulty of deciding whether or not a numerically computed quantity is zero causes problems in spectral theory. The purpose of this expository paper is to illustrate such instability phenomena by some examples with Toeplitz-like operators and matrices.
Cite this article
Albrecht Böttcher, Spectral instabilities: variations on a theme loved by Brian Davies. J. Spectr. Theory (2024), published online first
DOI 10.4171/JST/483