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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Format: | Article |
Language: | English |
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Wiley
2023-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2023/7178550 |
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author | Zahra Niktab Kazem Haghnejad Azar Razi Alavizadeh Saba Sadeghi Gavgani |
author_facet | Zahra Niktab Kazem Haghnejad Azar Razi Alavizadeh Saba Sadeghi Gavgani |
author_sort | Zahra Niktab |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-80e8bfc501944314b6ab7811414e2547 |
institution | Kabale University |
issn | 2314-4785 |
language | English |
publishDate | 2023-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-80e8bfc501944314b6ab7811414e25472025-02-03T06:42:40ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/7178550Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact OperatorsZahra Niktab0Kazem Haghnejad Azar1Razi Alavizadeh2Saba Sadeghi Gavgani3Department of MathematicsDepartment of Mathematics and ApplicationsDepartment of Mathematics and ApplicationsDepartment of MathematicsWe 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.http://dx.doi.org/10.1155/2023/7178550 |
spellingShingle | Zahra Niktab Kazem Haghnejad Azar Razi Alavizadeh Saba Sadeghi Gavgani Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators Journal of Mathematics |
title | Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators |
title_full | Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators |
title_fullStr | Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators |
title_full_unstemmed | Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators |
title_short | Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators |
title_sort | some properties of unbounded m weakly and unbounded l weakly compact operators |
url | http://dx.doi.org/10.1155/2023/7178550 |
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