Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators

Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators

We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and L-weakly compact operators. We also present a...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2023, Vol.2023, p.1-5
Hauptverfasser: Niktab, Zahra, Haghnejad Azar, Kazem, Alavizadeh, Razi, Sadeghi Gavgani, Saba
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Lattice theory
Lattices
Linear operators
Mathematics
Operators (mathematics)
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Zusammenfassung:We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and L-weakly compact operators. We also present an operator characterization of Banach lattices with an ordered continuous norm.
ISSN:2314-4629
2314-4785
DOI:10.1155/2023/7178550