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Some results on upper semi-Fredholm operators on Banach lattices

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Abstract

We study the class of upper semi-Fredholm operators acting between Banach lattices. It focuses on the domination of such operators by compact, Dunford–Pettis and AM-compact operators.

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Acknowledgements

The authors would like to thank the referees for their valuable comments which helped to improve the manuscript.

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The authors have no funding to declare.

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Authors and Affiliations

  1. Engineering Sciences Lab, ENSA, Université Ibn Tofail, B.P 241, Kenitra, Morocco

    Youssef Ezzaki

  2. Regional Center for Education and Formation (CRMEF), Rabat, Morocco

    Redouane Nouira

  3. Engineering Sciences Laboratory, ENSA, Université Ibn Tofail, B.P. 14000, Kenitra, Morocco

    Othman Aboutafail

Authors
  1. Youssef Ezzaki
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  2. Redouane Nouira
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  3. Othman Aboutafail
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All authors contributed to the study conception and design and approved the final manuscript.

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Correspondence to Othman Aboutafail.

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Othman Aboutafail: “Moroccan Association of Ordered Structures, Operators Theory, Applications and Sustainable Development (MAOSOTA)” Morocco.

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Ezzaki, Y., Nouira, R. & Aboutafail, O. Some results on upper semi-Fredholm operators on Banach lattices. Positivity 28, 17 (2024). https://doi.org/10.1007/s11117-024-01030-x

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