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arXiv · 2206.04978

A note on Hausdorff-convergence of pseudospectra

Marko Lindner·Dennis Schmeckpeper
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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.

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Marko Lindner, Dennis Schmeckpeper. 2022-06-10. A note on Hausdorff-convergence of pseudospectra. https://arxiv.org/abs/2206.04978

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