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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2022-12-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | https://www.opuscula.agh.edu.pl/vol43/1/art/opuscula_math_4306.pdf |
| _version_ | 1797974629153767424 |
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| author | Marko Lindner Dennis Schmeckpeper |
| author_facet | Marko Lindner Dennis Schmeckpeper |
| author_sort | Marko Lindner |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T04:22:49Z |
| format | Article |
| id | doaj.art-7676bb0b4efd4c8c8ccf3c17b7d8727f |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-04-11T04:22:49Z |
| publishDate | 2022-12-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-7676bb0b4efd4c8c8ccf3c17b7d8727f2022-12-30T11:30:47ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742022-12-01431101108https://doi.org/10.7494/OpMath.2023.43.1.1014306A note on Hausdorff convergence of pseudospectraMarko Lindner0Dennis Schmeckpeper1TU Hamburg, Institute of Mathematics, Am Schwarzenberg - Campus 1, 21073 Hamburg, GermanyTU Hamburg, Institute of Mathematics, Am Schwarzenberg - Campus 1, 21073 Hamburg, GermanyFor 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.https://www.opuscula.agh.edu.pl/vol43/1/art/opuscula_math_4306.pdfresolventspectrumpseudospectrumhausdorff convergence |
| spellingShingle | Marko Lindner Dennis Schmeckpeper A note on Hausdorff convergence of pseudospectra Opuscula Mathematica resolvent spectrum pseudospectrum hausdorff convergence |
| title | A note on Hausdorff convergence of pseudospectra |
| title_full | A note on Hausdorff convergence of pseudospectra |
| title_fullStr | A note on Hausdorff convergence of pseudospectra |
| title_full_unstemmed | A note on Hausdorff convergence of pseudospectra |
| title_short | A note on Hausdorff convergence of pseudospectra |
| title_sort | note on hausdorff convergence of pseudospectra |
| topic | resolvent spectrum pseudospectrum hausdorff convergence |
| url | https://www.opuscula.agh.edu.pl/vol43/1/art/opuscula_math_4306.pdf |
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