Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/5622
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dc.contributor.authorCâmara, M. C.-
dc.contributor.authorDiogo, C.-
dc.date.accessioned2013-09-20T16:31:22Z-
dc.date.available2013-09-20T16:31:22Z-
dc.date.issued2008-
dc.identifier.citationCâmara, M. C., & Diogo, C. (2008). Invertibility of Toeplitz operators and corona conditions in a strip. Journal of Mathematical Analysis and Applications, 342(2), 1297-1317. https://10.1016/j.jmaa.2007.12.059-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10071/5622-
dc.identifier.urihttps://ciencia.iscte-iul.pt/id/ci-pub-13710-
dc.descriptionWOS:000254945300042-
dc.description.abstractA Toeplitz operator with symbol G such that detG=1 is invertible if there is a non-trivial solution to a Riemann–Hilbert problem G?+=?? with ?+ and ?? satisfying the corona conditions in C+ and C?, respectively. However, determining such a solution and verifying that the corona conditions are satisfied are in general difficult problems. In this paper, on one hand, we establish conditions on ?± which are equivalent to the corona conditions but easier to verify, if G±1 are analytic and bounded in a strip. This happens in particular with almost-periodic symbols. On the other hand, we identify new classes of symbols G for which a non-trivial solution to G?+=?? can be explicitly determined and the corona conditions can be verified by the above mentioned approach, thus obtaining invertibility criteria for the associated Toeplitz operators.eng
dc.language.isoeng-
dc.publisherAcademic Press/Elsevier-
dc.relationinfo:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBD%2F24007%2F2005/PT-
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/81385/PT-
dc.rightsrestrictedAccesspor
dc.subjectToeplitz operatoreng
dc.subjectRiemann–Hilbert problemeng
dc.subjectCorona theoremeng
dc.subjectWiener–Hopf factorizationeng
dc.titleInvertibility of Toeplitz operators and corona conditions in a stripeng
dc.typearticle-
dc.event.date2018-
dc.pagination1297 - 1317-
dc.publicationstatusPublicadopor
dc.peerreviewedyes-
dc.journalJournal of Mathematical Analysis and Applications-
dc.distributionInternacionalpor
dc.volume342-
dc.number2-
degois.publication.firstPage1297-
degois.publication.lastPage1317-
degois.publication.issue2-
degois.publication.titleInvertibility of Toeplitz operators and corona conditions in a stripeng
dc.identifier.doi10.1016/j.jmaa.2007.12.059-
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.subject.fosDomínio/Área Científica::Ciências Sociais::Economia e Gestão-
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