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On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces

2025-11-30Artigo 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.pblSociedad Matematica Mexicana
dc.date.accessioned2025-08-29T21:35:21Z
dc.date.available2025-08-29T21:35:21Z
dc.date.issued2025-11-30
dc.descriptionFunding Information: Open access funding provided by FCT|FCCN (b-on). This work is funded by national funds through the FCT - Fundação para a Ciência e a Tecnologia, I.P., under the scope of the projects UIDB/00297/2020 (https://doi.org/10.54499/UIDB/00297/2020) and UIDP/ 00297/2020 (https://doi.org/10.54499/UIDP/00297/2020) (Center for Mathematics and Applications). Publisher Copyright: © The Author(s) 2024.
dc.description.abstractLet X be a Banach function space over the unit circle such that the Riesz projection P is bounded on X and let H[X] be the abstract Hardy space built upon X. We show that the essential norm of the Toeplitz operator T(a):H[X]→H[X] coincides with ‖a‖L∞ for every a∈C+H∞ if and only if the essential norm of the backward shift operator T(e-1):H[X]→H[X] is equal to one, where e-1(z)=z-1. This result extends an observation by Böttcher, Krupnik, and Silbermann for the case of classical Hardy spaces.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent9
dc.format.extent344811
dc.identifier.doi10.1007/s40590-024-00689-2
dc.identifier.issn1405-213X
dc.identifier.otherPURE: 103978609
dc.identifier.otherPURE UUID: 18465c62-bb29-498c-a9fb-334c978b40e9
dc.identifier.otherScopus: 85209822216
dc.identifier.otherWOS: 001351491800001
dc.identifier.urihttp://hdl.handle.net/10362/187197
dc.identifier.urlhttps://www.scopus.com/pages/publications/85209822216
dc.identifier.urlhttps://www.webofscience.com/wos/woscc/full-record/WOS:001351491800001
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.subjectAbstract Hardy space
dc.subjectBanach function space
dc.subjectEssential norm
dc.subjectToeplitz operator
dc.subjectGeneral Mathematics
dc.titleOn the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spacesen
dc.typejournal article
degois.publication.firstPage1
degois.publication.lastPage9
degois.publication.titleBoletin de la Sociedad Matematica Mexicana
degois.publication.volume31
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base
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.rightsopenAccess
relation.isProjectOfPublication6d719021-6aee-40c1-a930-d811c01c997d
relation.isProjectOfPublication65d392f7-8781-4d70-b9f3-069b07d4a311
relation.isProjectOfPublication.latestForDiscovery6d719021-6aee-40c1-a930-d811c01c997d

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