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Unbounded L-weakly compact operators and a generalization of M-weakly compact operators

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Abstract

In this paper, we present and examine novel classifications of operators called unbounded L-weakly compact operators and generalized M-weakly compact operators. We explore various lattice properties associated with these operator classifications and investigate their connections with other well-known operators, including M-weakly compact operators. Our findings reveal that every M-weakly compact operator is a generalized M-weakly compact operator, although the converse does not hold in general. We also investigate the duality properties of this class of operators.

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Acknowledgements

The authors would like to thank the anonymous referee for her/his valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran

    Somayeh Hazrati, Kazem Haghnejad Azar & Sajjad Ghanizadeh Zare

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  1. Somayeh Hazrati
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  2. Kazem Haghnejad Azar
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  3. Sajjad Ghanizadeh Zare
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Correspondence to Kazem Haghnejad Azar.

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Communicated by Vrej Zarikian.

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Hazrati, S., Azar, K.H. & Zare, S.G. Unbounded L-weakly compact operators and a generalization of M-weakly compact operators. J Anal (2024). https://doi.org/10.1007/s41478-024-00768-7

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  • DOI: https://doi.org/10.1007/s41478-024-00768-7

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