Abstract
This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we defined a new class of operators called pseudo-generalized invertible operators that includes both the set of generalized invertible operators and the set of Drazin invertible operators. Here we focus essentially on the perturbation problem of pseudo-generalized invertible operators and the particular case of DPG invertibility.
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Acknowledgements
We want to thank the referee for reading this paper carefully, whose generous and valuable remarks brought improvements to the paper and enhance clarity.
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The work of A. Lahmar and H. Skhiri is supported by LR/18/ES/16 : Analyse, Géométrie et Applications, University of Monastir (Tunisia).
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Lahmar, A., Skhiri, H. On the perturbation of pseudo-generalized invertible operators. Acta Sci. Math. (Szeged) 89, 389–411 (2023). https://doi.org/10.1007/s44146-023-00068-9
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DOI: https://doi.org/10.1007/s44146-023-00068-9
Keywords
- Pseudo-generalized invertibility
- Generalized invertibility
- Descent
- Ascent
- DPG invertibility
- Drazin invertibility
- Semi-fredholm