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Durham Research Online
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Local convergence of spectra and pseudospectra.

Boegli, Sabine (2018) 'Local convergence of spectra and pseudospectra.', Journal of spectral theory., 8 (3). pp. 1051-1098.

Abstract

We prove local convergence results for the spectra and pseudospectra of sequences of linear operators acting in different Hilbert spaces and converging in generalised strong resolvent sense to an operator with possibly non-empty essential spectrum. We establish local spectral exactness outside the limiting essential spectrum, local ε-pseudospectral exactness outside the limiting essential ε-near spectrum, and discuss properties of these two notions including perturbation results.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.4171/JST/222
Date accepted:No date available
Date deposited:12 December 2019
Date of first online publication:15 July 2018
Date first made open access:12 December 2019

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