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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Main Authors: Zahra Niktab, Kazem Haghnejad Azar, Razi Alavizadeh, Saba Sadeghi Gavgani
Format: Article
Language:English
Published: Wiley 2023-01-01
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.
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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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AT razialavizadeh somepropertiesofunboundedmweaklyandunboundedlweaklycompactoperators
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