TY - JOUR ID - Lindner2023 LB - Lindner2023 AU - Lindner, Marko AU - Schmeckpeper, Dennis TI - A note on Hausdorff convergence of pseudospectra ST - A note on Hausdorff convergence of pseudospectra JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2023 VL - 43 IS - 1 SP - 101 EP - 108 DO - https://doi.org/10.7494/OpMath.2023.43.1.101 UR - https://doi.org/10.7494/OpMath.2023.43.1.101 AB - 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. KW - resolvent KW - spectrum KW - pseudospectrum KW - Hausdorff convergence SN - 1232-9274 ER -