Stability of Left and Right Weyl Essential Spectra
In this work, we use the concept of demicompact linear operators to provide a characterization of the left and right Weyl essential spectra. Additionally, we study the stability of these spectra in Banach space. We illustrate our theoretical results by investigating this type of essential spectra in...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2024-07-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/191 |
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| _version_ | 1849419260991897600 |
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| author | Ali Zitouni |
| author_facet | Ali Zitouni |
| author_sort | Ali Zitouni |
| collection | DOAJ |
| description | In this work, we use the concept of demicompact linear operators to provide a characterization of the left and right Weyl essential spectra. Additionally, we study the stability of these spectra in Banach space. We illustrate our theoretical results by investigating this type of essential spectra in transport equations. |
| format | Article |
| id | doaj-art-3e142fdf0bf54004ac9a595b456dbff9 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-3e142fdf0bf54004ac9a595b456dbff92025-08-20T03:32:11ZengMathyze PublishersPan-American Journal of Mathematics2832-42932024-07-013010.28919/cpr-pajm/3-1956Stability of Left and Right Weyl Essential SpectraAli Zitouni0faculty of sciences of SfaxIn this work, we use the concept of demicompact linear operators to provide a characterization of the left and right Weyl essential spectra. Additionally, we study the stability of these spectra in Banach space. We illustrate our theoretical results by investigating this type of essential spectra in transport equations.https://mathyze.com/index.php/pajm/article/view/191 |
| spellingShingle | Ali Zitouni Stability of Left and Right Weyl Essential Spectra Pan-American Journal of Mathematics |
| title | Stability of Left and Right Weyl Essential Spectra |
| title_full | Stability of Left and Right Weyl Essential Spectra |
| title_fullStr | Stability of Left and Right Weyl Essential Spectra |
| title_full_unstemmed | Stability of Left and Right Weyl Essential Spectra |
| title_short | Stability of Left and Right Weyl Essential Spectra |
| title_sort | stability of left and right weyl essential spectra |
| url | https://mathyze.com/index.php/pajm/article/view/191 |
| work_keys_str_mv | AT alizitouni stabilityofleftandrightweylessentialspectra |