On Koliha-Drazin invertible operators and Browder type theorems
Let $T$ be a bounded linear operator on a Banach space $X$. We give new necessary and sufficient conditions for $T$ to be Drazin or Koliha-Drazin invertible. All those conditions have the following form: $T$ possesses certain decomposition property and zero is not an interior point of some part of t...
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01-12-2019
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| Abstract | Let $T$ be a bounded linear operator on a Banach space $X$. We give new
necessary and sufficient conditions for $T$ to be Drazin or Koliha-Drazin
invertible. All those conditions have the following form: $T$ possesses certain
decomposition property and zero is not an interior point of some part of the
spectrum of $T$. In addition, we study operators $T$ satisfying
Browder\textquoteright s theorem, or a-Browder\textquoteright s theorem, by
means of some relationships between diferent parts of the spectrum of $T$. |
|---|---|
| AbstractList | Let $T$ be a bounded linear operator on a Banach space $X$. We give new
necessary and sufficient conditions for $T$ to be Drazin or Koliha-Drazin
invertible. All those conditions have the following form: $T$ possesses certain
decomposition property and zero is not an interior point of some part of the
spectrum of $T$. In addition, we study operators $T$ satisfying
Browder\textquoteright s theorem, or a-Browder\textquoteright s theorem, by
means of some relationships between diferent parts of the spectrum of $T$. |
| Author | Živković-Zlatanović, Snežana Č Cvetković, Miloš D |
| Author_xml | – sequence: 1 givenname: Miloš D surname: Cvetković fullname: Cvetković, Miloš D – sequence: 2 givenname: Snežana Č surname: Živković-Zlatanović fullname: Živković-Zlatanović, Snežana Č |
| BackLink | https://doi.org/10.48550/arXiv.1912.00435$$DView paper in arXiv |
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| Snippet | Let $T$ be a bounded linear operator on a Banach space $X$. We give new
necessary and sufficient conditions for $T$ to be Drazin or Koliha-Drazin
invertible.... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Functional Analysis |
| Title | On Koliha-Drazin invertible operators and Browder type theorems |
| URI | https://arxiv.org/abs/1912.00435 |
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