A note on Hausdorff convergence of pseudospectra

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.

Bibliographic Details
Main Authors: Marko Lindner, Dennis Schmeckpeper
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2022-12-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/1/art/opuscula_math_4306.pdf