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Some new results about order Fredholm theory in Banach lattices

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Abstract

This paper aims to introduce and study a new generalized class of semi-Fredholm operators acting between Banach lattices called order semi-Fredholm operators. It highlights some interesting properties of this class. Also, a perturbation properties are obtained. Finally, we discuss the conditions that make the adjoint of an order semi-Fredholm operator be a semi-Fredholm operator.

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Funding

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Authors and Affiliations

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

    Youssef Ezzaki, Othman Aboutafail & Jawad H’michane

Authors
  1. Youssef Ezzaki
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  2. Othman Aboutafail
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  3. Jawad H’michane
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Contributions

All authors contributed to the study conception and design and approved the final manuscript.

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Correspondence to Youssef Ezzaki.

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Ezzaki, Y., Aboutafail, O. & H’michane, J. Some new results about order Fredholm theory in Banach lattices. Positivity 28, 23 (2024). https://doi.org/10.1007/s11117-024-01038-3

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  • DOI: https://doi.org/10.1007/s11117-024-01038-3

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