A note on Hausdorff-convergence of pseudospectra
Functional Analysis
2022-09-12 v3 Spectral Theory
Abstract
For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in terms of pointwise convergence of appropriate spectral quantities.
Keywords
Cite
@article{arxiv.2206.04978,
title = {A note on Hausdorff-convergence of pseudospectra},
author = {Marko Lindner and Dennis Schmeckpeper},
journal= {arXiv preprint arXiv:2206.04978},
year = {2022}
}