A note on the mapping theorem of essential pseudospectra on a Banach space
UDC 517.98 The main goal  of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator $A$ defined on a Banach space $X.$ We also  prove two different versions of the essential pseudospectral mapping theorem.
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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7325 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512651925258240 |
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| author | Ammar, Aymen Veeramani, S. Ammar, Aymen Veeramani, S. |
| author_facet | Ammar, Aymen Veeramani, S. Ammar, Aymen Veeramani, S. |
| author_sort | Ammar, Aymen |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:18Z |
| description | UDC 517.98
The main goal  of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator $A$ defined on a Banach space $X.$ We also  prove two different versions of the essential pseudospectral mapping theorem. |
| doi_str_mv | 10.3842/umzh.v76i3.7325 |
| first_indexed | 2026-03-24T03:32:11Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7325 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:11Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73252024-06-19T00:35:18Z A note on the mapping theorem of essential pseudospectra on a Banach space A note on the mapping theorem of essential pseudospectra on a Banach space Ammar, Aymen Veeramani, S. Ammar, Aymen Veeramani, S. Essential spectrum, essential pseudospectrum, mapping theorem UDC 517.98 The main goal  of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator $A$ defined on a Banach space $X.$ We also  prove two different versions of the essential pseudospectral mapping theorem. УДК 517.98 Зауваження до теореми про відображення істотних псевдоспектрів на банаховому просторі Основна мета цієї статті полягає в тому, щоб з'ясувати деякі основні властивості істотного псевдоспектра обмеженого лінійного оператора $A$, визначеного на банаховому просторі $X$. Крім того, доведено дві різні версії теореми про істотне псевдоспектральне відображення.  Institute of Mathematics, NAS of Ukraine 2024-03-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7325 10.3842/umzh.v76i3.7325 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 3 (2024); 341 - 352 Український математичний журнал; Том 76 № 3 (2024); 341 - 352 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7325/9851 Copyright (c) 2024 Veeramani Selvarajan |
| spellingShingle | Ammar, Aymen Veeramani, S. Ammar, Aymen Veeramani, S. A note on the mapping theorem of essential pseudospectra on a Banach space |
| title | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_alt | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_full | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_fullStr | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_full_unstemmed | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_short | A note on the mapping theorem of essential pseudospectra on a Banach space |
| title_sort | note on the mapping theorem of essential pseudospectra on a banach space |
| topic_facet | Essential spectrum essential pseudospectrum mapping theorem |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7325 |
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