A note on Hausdorff convergence of pseudospectra

Publikationstyp
Journal Article
Publikationsdatum
2023
Sprache
English
Author
Lindner, Marko orcid-logo
Schmeckpeper, Dennis 
Institut
Mathematik E-10 
DOI
10.15480/882.4807
TORE-URI
http://hdl.handle.net/11420/12951
Lizenz
https://creativecommons.org/licenses/by/4.0/
Enthalten in
Opuscula mathematica 
Volume
43
Issue
1
Start Page
101
End Page
108
Citation
Opuscula mathematica 43 (1): 101–108 (2023)
Publisher DOI
10.7494/OpMath.2023.43.1.101
Scopus ID
2-s2.0-85147903882
ArXiv ID
2206.04978v1
Publisher
AGH Univ. of Science and Technology Press
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.
Schlagworte
Mathematics - Functional Analysis
Mathematics - Functional Analysis
Mathematics - Spectral Theory
DDC Class
510: Mathematik