Condition pseudospectrum of operator pencils on non-archimedean Banach spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915114634969088 |
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| author | Ettayb, Jawad |
| author_facet | Ettayb, Jawad |
| contents | This paper deals with the condition pseudospectrum and essential condition pseudospectrum of operator pencils on n.a Banach spaces. We give a characterization of the condition pseudospectrum of operator pencils on n.a Banach spaces, the relation between the condition pseudospectrum of $(A,B)$ and the usual spectrum in a n.a valued field is investigated. Finally, we give a characterization of the essential spectrum of $(A,B)$ where $A\neq B$ by means of n.a completely continuous operators and we give some examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18401 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Condition pseudospectrum of operator pencils on non-archimedean Banach spaces Ettayb, Jawad Functional Analysis This paper deals with the condition pseudospectrum and essential condition pseudospectrum of operator pencils on n.a Banach spaces. We give a characterization of the condition pseudospectrum of operator pencils on n.a Banach spaces, the relation between the condition pseudospectrum of $(A,B)$ and the usual spectrum in a n.a valued field is investigated. Finally, we give a characterization of the essential spectrum of $(A,B)$ where $A\neq B$ by means of n.a completely continuous operators and we give some examples. |
| title | Condition pseudospectrum of operator pencils on non-archimedean Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2305.18401 |