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Generalization of some commutative perturbation results

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Publication:2105340
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DOI10.1007/s43034-022-00231-3OpenAlexW4309633809MaRDI QIDQ2105340

Abdelmalek Ouahab, Hassan Zariouh, Zakariae Aznay

Publication date: 8 December 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08577


zbMATH Keywords

perturbation theoryspectra


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)




Cites Work

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  • On the Drazin inverse of the sum of two matrices
  • Representations for the pseudo Drazin inverse of elements in a Banach algebra
  • The generalized Drazin inverse of the sum in a Banach algebra
  • On the Weyl spectrum. II
  • Fredholm and local spectral theory. II: With application to Weyl-type theorems
  • Centralizers and their applications to generalized inverses
  • Upper and Lower Fredholm Spectra
  • Approximate Proper Vectors
  • Spectral theory of linear operators and spectral systems in Banach algebras


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