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A note on b-semicompact sets and operators

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Abstract

We introduce and study the notion of b-semicompactness of sets and operators in the Banach lattice setting and we look at its relationship with the L-weak compactness.

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Acknowledgments

The authors would like to thank the referee for his useful suggestions to improve the quality of the paper.

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Authors and Affiliations

  1. Faculté des Sciences, Département de Mathématiques, Université Ibn Tofaïl, B.P. 133, Kénitra, 14000, Maroc

    Nabil Machrafi, Kamal El Fahri & Mohammed Moussa

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  1. Nabil Machrafi
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  2. Kamal El Fahri
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  3. Mohammed Moussa
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Correspondence to Nabil Machrafi.

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Machrafi, N., El Fahri, K. & Moussa, M. A note on b-semicompact sets and operators. Rend. Circ. Mat. Palermo 65, 47–53 (2016). https://doi.org/10.1007/s12215-015-0217-7

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  • DOI: https://doi.org/10.1007/s12215-015-0217-7

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