A note on Hausdorff convergence of pseudospectra

Opuscula Mathematica

article

Marko Lindner (corresponding author)¹  Dennis Schmeckpeper¹ 

[1]TU Hamburg, Institute of Mathematics, Am Schwarzenberg - Campus 1

关键词: resolvent;    spectrum;    pseudospectrum;    Hausdorff convergence.;   

DOI  :  10.7494/OpMath.2023.43.1.101

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC