A note on Hausdorff convergence of pseudospectra

[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.

[学科分类] 环境科学（综合）

[关键词] resolvent;spectrum;pseudospectrum;Hausdorff convergence.