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arXiv · 1912.00435

On Koliha-Drazin invertible operators and Browder type theorems

Miloš D. Cvetković·Snežana Č. Živković-Zlatanović
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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 $T$.

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Miloš D. Cvetković, Snežana Č. Živković-Zlatanović. 2019-12-01. On Koliha-Drazin invertible operators and Browder type theorems. https://arxiv.org/abs/1912.00435

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