Publication
On the kernel of a singular integral operator with shift
| dc.contributor.author | Marreiros, Rui | |
| dc.date.accessioned | 2018-12-07T14:52:46Z | |
| dc.date.available | 2018-12-07T14:52:46Z | |
| dc.date.issued | 2017-12 | |
| dc.description.abstract | Some estimates for the dimension of the kernel of the singular integral operator I - cUP(+) : L-p(n)(T) -> L-p(n)(T), p is an element of (1, infinity), with a non-Carleman shift are obtained, where P+ is the Cauchy projector, U is an isometric shift operator and c(t) is a continuous matrix function on the unit circle T. It is supposed that the shift has a finite set of fixed points and all the eigenvalues of the matrix c(t) at the fixed points, simultaneously belong either to the interior of the unit circle T or to its exterior. The case of an operator with a general shift is also considered. Some relations between those estimates and the resolvent set of the operator cU are pointed out. | |
| dc.description.sponsorship | Fundacao para a Ciencia e Tecnologia (Portugal) through Centro de Analise Funcional e Aplicacoes of Instituto Superior Tecnico | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.7153/oam-2017-11-77 | |
| dc.identifier.issn | 1846-3886 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/11201 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Element | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.title | On the kernel of a singular integral operator with shift | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1139 | |
| oaire.citation.issue | 4 | |
| oaire.citation.startPage | 1119 | |
| oaire.citation.title | Operators and Matrices | |
| oaire.citation.volume | 11 | |
| person.familyName | Marreiros | |
| person.givenName | Rui | |
| person.identifier.ciencia-id | 0916-669E-7D93 | |
| person.identifier.orcid | 0000-0002-1759-5755 | |
| person.identifier.rid | A-4148-2015 | |
| person.identifier.scopus-author-id | 55807237400 | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 733144b7-ee54-4330-ab23-ec0a0f4d9b43 | |
| relation.isAuthorOfPublication.latestForDiscovery | 733144b7-ee54-4330-ab23-ec0a0f4d9b43 |
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