Unbounded generalized B-Fredholm operators

• M. Boudhief ^[1]
  1. [1] Department of Mathematics, Faculty of Sciences of Sfax BP 1171, 3000, Sfax, Tunisia
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 39, Nº 1, 2024, págs. 37-46
• Idioma: inglés
• DOI: 10.17398/2605-5686.39.1.37
• Enlaces
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• Resumen

  • In this paper, we investigate a new class of unbounded linear operators, that is, the unbounded generalized B-Fredholm operators in Banach space. More explicitly, we provide a characterization of this class of operators and some of its basic properties on a Banach space. Moreover, we study the generalized B-Fredholm spectrum and we prove a perturbation result of an unbounded generalized B-Fredholm operator under a commuting power finite-rank operator.

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