Opuscula Mathematica
Opuscula Math. 43, no. 1 (2023), 101-108

A note on Hausdorff convergence of pseudospectra

Marko Lindner
Dennis Schmeckpeper
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: resolvent, spectrum, pseudospectrum, Hausdorff convergence.
Mathematics Subject Classification: 47A10, 47A25.
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About the authors ▼
Marko Lindner (corresponding author)
TU Hamburg, Institute of Mathematics, Am Schwarzenberg - Campus 1, 21073 Hamburg, Germany
Dennis Schmeckpeper
TU Hamburg, Institute of Mathematics, Am Schwarzenberg - Campus 1, 21073 Hamburg, Germany
About the article ▼
Communicated by P.A. Cojuahri.
Received: 2022-10-13.
Revised: 2022-11-01.
Accepted: 2022-11-05.
Published online: 2022-12-30.
Cite this article as ▼
Marko Lindner, Dennis Schmeckpeper, A note on Hausdorff convergence of pseudospectra, Opuscula Math. 43, no. 1 (2023), 101-108, https://doi.org/10.7494/OpMath.2023.43.1.101.
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