The property $(E_A)$ and local spectral theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913235242844160 |
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| author | Aponte, Elvis Lima, Lourival Sanabria, José |
| author_facet | Aponte, Elvis Lima, Lourival Sanabria, José |
| contents | In this paper, we introduce and study the spectral property $(E_A)$. This property means that the difference between the approximate point spectrum and the upper semi-Fredholm spectrum coincides with the difference between the approximate point spectrum and the upper semi-Weyl spectrum. Together with local spectral theory, we explore the behavior of this property under certain topological conditions and derive characterizations for the operators that verify it. Furthermore, we establish sufficient conditions that guarantee that a bounded linear operator verifies the property $(E_A)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The property $(E_A)$ and local spectral theory Aponte, Elvis Lima, Lourival Sanabria, José Functional Analysis 14J60 (Primary) 14F05, 14J26 (Secondary) In this paper, we introduce and study the spectral property $(E_A)$. This property means that the difference between the approximate point spectrum and the upper semi-Fredholm spectrum coincides with the difference between the approximate point spectrum and the upper semi-Weyl spectrum. Together with local spectral theory, we explore the behavior of this property under certain topological conditions and derive characterizations for the operators that verify it. Furthermore, we establish sufficient conditions that guarantee that a bounded linear operator verifies the property $(E_A)$. |
| title | The property $(E_A)$ and local spectral theory |
| topic | Functional Analysis 14J60 (Primary) 14F05, 14J26 (Secondary) |
| url | https://arxiv.org/abs/2402.10170 |