Some properties of weak Banach-Saks operators

We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banac...

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Autores principales:	Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi
Formato:	article
Lenguaje:	EN
Publicado:	Institute of Mathematics of the Czech Academy of Science 2021
Materias:	weak banach-saks operator weakly compact operator {\rm l}-weakly compact operator {\rm m}-weakly compact operator order continuous norm, positive schur property reflexive banach space Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/19fee654a5814238967e457742827f9b
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spelling	oai:doaj.org-article:19fee654a5814238967e457742827f9b2021-11-08T09:59:12ZSome properties of weak Banach-Saks operators0862-79592464-713610.21136/MB.2020.0055-18https://doaj.org/article/19fee654a5814238967e457742827f9b2021-12-01T00:00:00Zhttp://mb.math.cas.cz/full/146/4/mb146_4_3.pdfhttps://doaj.org/toc/0862-7959https://doaj.org/toc/2464-7136We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).Othman AboutafailLarbi ZraoulaNoufissa HafidiInstitute of Mathematics of the Czech Academy of Sciencearticle weak banach-saks operator weakly compact operator {\rm l}-weakly compact operator {\rm m}-weakly compact operator order continuous norm, positive schur property reflexive banach spaceMathematicsQA1-939ENMathematica Bohemica, Vol 146, Iss 4, Pp 407-418 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	weak banach-saks operator weakly compact operator {\rm l}-weakly compact operator {\rm m}-weakly compact operator order continuous norm, positive schur property reflexive banach space Mathematics QA1-939
spellingShingle	weak banach-saks operator weakly compact operator {\rm l}-weakly compact operator {\rm m}-weakly compact operator order continuous norm, positive schur property reflexive banach space Mathematics QA1-939 Othman Aboutafail Larbi Zraoula Noufissa Hafidi Some properties of weak Banach-Saks operators
description	We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
format	article
author	Othman Aboutafail Larbi Zraoula Noufissa Hafidi
author_facet	Othman Aboutafail Larbi Zraoula Noufissa Hafidi
author_sort	Othman Aboutafail
title	Some properties of weak Banach-Saks operators
title_short	Some properties of weak Banach-Saks operators
title_full	Some properties of weak Banach-Saks operators
title_fullStr	Some properties of weak Banach-Saks operators
title_full_unstemmed	Some properties of weak Banach-Saks operators
title_sort	some properties of weak banach-saks operators
publisher	Institute of Mathematics of the Czech Academy of Science
publishDate	2021
url	https://doaj.org/article/19fee654a5814238967e457742827f9b
work_keys_str_mv	AT othmanaboutafail somepropertiesofweakbanachsaksoperators AT larbizraoula somepropertiesofweakbanachsaksoperators AT noufissahafidi somepropertiesofweakbanachsaksoperators
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Some properties of weak Banach-Saks operators

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