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...
- Autores:
- 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
- Rights
- License
- Abierto (Texto Completo)
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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 |
_version_ |
1814167502991654912 |