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Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators

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Abstract

In this paper, we investigate Banach lattices on which each positive semi-compact operator \(T: E\rightarrow F\) is null almost L-weakly compact (rep. Null almost M-weakly compact). Additionally, we present certain sufficient and necessary conditions for a positive Null almost L-weakly compact operator to be semi-compact.

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Authors and Affiliations

  1. MMA, FPL, Abdelmalek Essaadi University, Tetouan, Morocco

    Safae El filali & Khalid Bouras

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  1. Safae El filali
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  2. Khalid Bouras
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Correspondence to Safae El filali.

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El filali, S., Bouras, K. Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators. Acta Sci. Math. (Szeged) 90, 207–218 (2024). https://doi.org/10.1007/s44146-024-00107-z

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