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A remark on Toeplitz and Laurent operators acting on ℓp spaces with power weights

2024-09-15Artigo científico Acesso aberto
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dc.contributor.authorKarlovych, Oleksiy
dc.contributor.authorShargorodsky, Eugene
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblElsevier
dc.date.accessioned2024-04-05T00:17:27Z
dc.date.available2024-04-05T00:17:27Z
dc.date.issued2024-09-15
dc.descriptionPublisher Copyright: © 2023 Elsevier Inc.
dc.description.abstractIn the late 1980's, Böttcher and Silbermann asked whether the boundedness of the Toeplitz operator T(a) on the space ℓμp(Z+) implies boundedness of the Laurent operator M(a) on the space ℓ0,μp,p(Z). We give the negative answer to this question.en
dc.description.versionpublished
dc.format.extent11
dc.format.extent290443
dc.identifier.doi10.1016/j.laa.2023.08.022
dc.identifier.issn0024-3795
dc.identifier.otherPURE: 84563632
dc.identifier.otherPURE UUID: 7d512219-9a00-41bd-9931-904c555b2e11
dc.identifier.otherScopus: 85171259049
dc.identifier.otherWOS: 001252453900001
dc.identifier.urihttp://hdl.handle.net/10362/165826
dc.identifier.urlhttps://www.scopus.com/pages/publications/85171259049
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.relationCenter for Mathematics and Applications
dc.subjectDiscrete Hilbert transform
dc.subjectDiscrete Muckenhoupt condition
dc.subjectLaurent operator
dc.subjectPower weight
dc.subjectToeplitz operator
dc.subjectWeighted ℓ space
dc.subjectAlgebra and Number Theory
dc.subjectNumerical Analysis
dc.subjectGeometry and Topology
dc.subjectDiscrete Mathematics and Combinatorics
dc.titleA remark on Toeplitz and Laurent operators acting on ℓp spaces with power weightsen
dc.typejournal article
degois.publication.firstPage82
degois.publication.lastPage92
degois.publication.titleLinear Algebra and its Applications
degois.publication.volume697
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
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relation.isProjectOfPublication.latestForDiscovery65d392f7-8781-4d70-b9f3-069b07d4a311

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