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On generalized semi B-Fredholm operators

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Abstract

In this paper we study two new classes of bounded linear operators acting on a Banach space X called lower semi B-Fredholm generalized operators and lower semi Saphar operators, respectively. We characterize a generalized semi B-Fredholm operator as the direct sum of a nilpotent operator and a semi Shapar operator and also we prove the stability of this class of operators under perturbations by operators with finite-range power.

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Authors and Affiliations

  1. Departamento de Ciencias Básicas, Facultad de Ciencias Básicas, Ingeniería y Arquitectura, Corporación Universitaria del Caribe-CECAR, Sincelejo, Colombia

    O. García & C. Carpintero

  2. Departamento de Matemáticas, Universidad de Sucre, Sincelejo, Colombia

    O. Ferrer & J. Sanabria

Authors
  1. O. García
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  2. O. Ferrer
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  3. C. Carpintero
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  4. J. Sanabria
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Correspondence to O. García.

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García, O., Ferrer, O., Carpintero, C. et al. On generalized semi B-Fredholm operators. Rend. Circ. Mat. Palermo, II. Ser 72, 1729–1737 (2023). https://doi.org/10.1007/s12215-022-00771-6

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  • DOI: https://doi.org/10.1007/s12215-022-00771-6

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