Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range...

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Fecha de publicación:: 2019

Institución:: Universidad del Rosario

Repositorio:: Repositorio EdocUR - U. Rosario

Idioma:: eng

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dc.title.spa.fl_str_mv	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
title	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
spellingShingle	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range Banach lattice Köthe spaces Multiplication operator
title_short	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
title_full	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
title_fullStr	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
title_full_unstemmed	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
title_sort	Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range
dc.subject.keyword.spa.fl_str_mv	Banach lattice Köthe spaces Multiplication operator
topic	Banach lattice Köthe spaces Multiplication operator
description	We calculate the measure of non-compactness of the multiplication operator Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of Mu acting on Köthe spaces. © 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
publishDate	2019
dc.date.created.spa.fl_str_mv	2019
dc.date.accessioned.none.fl_str_mv	2020-05-26T00:03:41Z
dc.date.available.none.fl_str_mv	2020-05-26T00:03:41Z
dc.type.eng.fl_str_mv	article
dc.type.coarversion.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_6501
dc.type.spa.spa.fl_str_mv	Artículo
dc.identifier.doi.none.fl_str_mv	https://doi.org/10.1007/s40840-017-0562-0
dc.identifier.issn.none.fl_str_mv	1266705
dc.identifier.uri.none.fl_str_mv	https://repository.urosario.edu.co/handle/10336/23618
url	https://doi.org/10.1007/s40840-017-0562-0 https://repository.urosario.edu.co/handle/10336/23618
identifier_str_mv	1266705
dc.language.iso.spa.fl_str_mv	eng
language	eng
dc.relation.citationEndPage.none.fl_str_mv	1534
dc.relation.citationIssue.none.fl_str_mv	No. 4
dc.relation.citationStartPage.none.fl_str_mv	1523
dc.relation.citationTitle.none.fl_str_mv	Bulletin of the Malaysian Mathematical Sciences Society
dc.relation.citationVolume.none.fl_str_mv	Vol. 42
dc.relation.ispartof.spa.fl_str_mv	Bulletin of the Malaysian Mathematical Sciences Society, ISSN:1266705, Vol.42, No.4 (2019); pp. 1523-1534
dc.relation.uri.spa.fl_str_mv	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067416651&doi=10.1007%2fs40840-017-0562-0&partnerID=40&md5=6b8ae096815857eb3d815779b89cbbc2
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
dc.rights.acceso.spa.fl_str_mv	Abierto (Texto Completo)
rights_invalid_str_mv	Abierto (Texto Completo) http://purl.org/coar/access_right/c_abf2
dc.format.mimetype.none.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	Springer
institution	Universidad del Rosario
dc.source.instname.spa.fl_str_mv	instname:Universidad del Rosario
dc.source.reponame.spa.fl_str_mv	reponame:Repositorio Institucional EdocUR
repository.name.fl_str_mv	Repositorio institucional EdocUR
repository.mail.fl_str_mv	edocur@urosario.edu.co
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Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

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