Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913506739093504 |
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| author | Abad, Othman Zguitti, Hassan |
| author_facet | Abad, Othman Zguitti, Hassan |
| contents | We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible elements are given. In particular, we extend those of \cite{AbZg1,Djor,Ziv}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_04675 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra Abad, Othman Zguitti, Hassan Functional Analysis 46H99, 47A10, 47A53 We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible elements are given. In particular, we extend those of \cite{AbZg1,Djor,Ziv}. |
| title | Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra |
| topic | Functional Analysis 46H99, 47A10, 47A53 |
| url | https://arxiv.org/abs/2204.04675 |