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http://hdl.handle.net/10071/5622
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Campo DC | Valor | Idioma |
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dc.contributor.author | Câmara, M. C. | - |
dc.contributor.author | Diogo, C. | - |
dc.date.accessioned | 2013-09-20T16:31:22Z | - |
dc.date.available | 2013-09-20T16:31:22Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Câmara, 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.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/10071/5622 | - |
dc.identifier.uri | https://ciencia.iscte-iul.pt/id/ci-pub-13710 | - |
dc.description | WOS:000254945300042 | - |
dc.description.abstract | A 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.iso | eng | - |
dc.publisher | Academic Press/Elsevier | - |
dc.relation | info:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBD%2F24007%2F2005/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/3599-PPCDT/81385/PT | - |
dc.rights | restrictedAccess | por |
dc.subject | Toeplitz operator | eng |
dc.subject | Riemann–Hilbert problem | eng |
dc.subject | Corona theorem | eng |
dc.subject | Wiener–Hopf factorization | eng |
dc.title | Invertibility of Toeplitz operators and corona conditions in a strip | eng |
dc.type | article | - |
dc.event.date | 2018 | - |
dc.pagination | 1297 - 1317 | - |
dc.publicationstatus | Publicado | por |
dc.peerreviewed | yes | - |
dc.journal | Journal of Mathematical Analysis and Applications | - |
dc.distribution | Internacional | por |
dc.volume | 342 | - |
dc.number | 2 | - |
degois.publication.firstPage | 1297 | - |
degois.publication.lastPage | 1317 | - |
degois.publication.issue | 2 | - |
degois.publication.title | Invertibility of Toeplitz operators and corona conditions in a strip | eng |
dc.identifier.doi | 10.1016/j.jmaa.2007.12.059 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
dc.subject.fos | Domínio/Área Científica::Ciências Sociais::Economia e Gestão | - |
Aparece nas coleções: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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