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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Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/23618
Acceso en línea:
https://doi.org/10.1007/s40840-017-0562-0
https://repository.urosario.edu.co/handle/10336/23618
Palabra clave:
Banach lattice
Köthe spaces
Multiplication operator
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spelling 067eb076-ebe8-4471-aa81-85ac8d808c52-107323e66-6861-4ef6-8d22-ccde81d948f6-15dd5d431-8f71-4dd6-a995-f5384989e407-1d3e4067d-5d00-4de9-a922-89be330ad662-12020-05-26T00:03:41Z2020-05-26T00:03:41Z2019We 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.application/pdfhttps://doi.org/10.1007/s40840-017-0562-01266705https://repository.urosario.edu.co/handle/10336/23618engSpringer1534No. 41523Bulletin of the Malaysian Mathematical Sciences SocietyVol. 42Bulletin of the Malaysian Mathematical Sciences Society, ISSN:1266705, Vol.42, No.4 (2019); pp. 1523-1534https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067416651&doi=10.1007%2fs40840-017-0562-0&partnerID=40&md5=6b8ae096815857eb3d815779b89cbbc2Abierto (Texto Completo)http://purl.org/coar/access_right/c_abf2instname:Universidad del Rosarioreponame:Repositorio Institucional EdocURBanach latticeKöthe spacesMultiplication operatorMultiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed RangearticleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501Castillo R.E.Rafeiro H.Ramos-Fernández J.C.Salas-Brown M.10336/23618oai:repository.urosario.edu.co:10336/236182022-05-02 07:37:21.090026https://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
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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