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Generalized Drazin Inverse and Commuting Riesz Perturbations

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Associative and Non-Associative Algebras and Applications (MAMAA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 311))

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Abstract

In this note, we provide necessary and sufficient conditions for the stability of generalized Drazin invertible operators under commuting Riesz perturbation. We also focus on the commuting perturbation class of meromorphic operators.

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Labo LAGA, Faculté des Sciences, Université Mohammed Premier, 60000, Oujda, Morocco

    Mourad Oudghiri & Khalid Souilah

Authors
  1. Mourad Oudghiri
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  2. Khalid Souilah
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Corresponding author

Correspondence to Mourad Oudghiri .

Editor information

Editors and Affiliations

  1. Departamento Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, Spain

    Mercedes Siles Molina

  2. Department of Algebra, University of Granada, Ceuta, Spain

    Laiachi El Kaoutit

  3. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

    Mohamed Louzari

  4. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

    L'Moufadal Ben Yakoub

  5. Department of Mathematics, Abdelmalek Essaâdi University, Tetouan, Morocco

    Mohamed Benslimane

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Oudghiri, M., Souilah, K. (2020). Generalized Drazin Inverse and Commuting Riesz Perturbations. In: Siles Molina, M., El Kaoutit, L., Louzari, M., Ben Yakoub, L., Benslimane, M. (eds) Associative and Non-Associative Algebras and Applications. MAMAA 2018. Springer Proceedings in Mathematics & Statistics, vol 311. Springer, Cham. https://doi.org/10.1007/978-3-030-35256-1_7

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