Characterization of essential spectra by quasi-compact perturbations

Authors

  • Faiçal Abdmouleh University of Sfax, Higher Institute of Industrial Management of Sfax, Route de Tunis km 10.5, Technopole de Sfax, BP 1164-3021, Sfax, Tunisia
  • Hamadi Chaâben University of Sfax, Faculty of Sciences of Sfax, Route de la Soukra km 4, BP 1171-3000, Sfax, Tunisia
  • Ines Walha University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, Route de la Soukra km 4, BP 1171-3000, Sfax, Tunisia

DOI:

https://doi.org/10.33044/revuma.2771

Abstract

We are interested in the concept of quasi-compact operators allowing us to provide some advances on the theory of operators acting in Banach spaces. More precisely, our main objective is to exhibit the importance of the use of this notion to outline a new approach in the analysis of the stability problems of upper and lower semi-Fredholm, upper and lower semi-Weyl, and upper and lower semi-Browder operators, and to provide a fine description and characterization of some Browder's essential spectra involving this kind of operators.

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References

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Published

2023-10-23

Issue

Vol. 65 No. 2 (2023)

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Article

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