Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space lp ( 0 < p < ?)

dc.contributor.authorKaraisa, Ali
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-02-23T14:26:28Z
dc.date.available2024-02-23T14:26:28Z
dc.date.issued2013
dc.departmentNEÜen_US
dc.description.abstractThe fine spectra of lower triangular triple-band matrices have been examined by several authors (e. g., Akhmedov (2006), Basar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple-band matrices over the sequence space l(p). The operator A(r, s, t) on sequence space on l(p) is defined by A(r, s, t)x = (rx(k) + sx(k+1) + tx(k+2))(k=0)(infinity), where x = (x(k)) is an element of l(p), with 0 < p < infinity. In this paper we have obtained the results on the spectrum and point spectrum for the operator A(r, s, t) on the sequence space l(p). Further, the results on continuous spectrum, residual spectrum, and fine spectrum of the operator A(r, s, t) on the sequence space l(p). are also derived. Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator A(r, s, t) over the space l(p) and we give some applications.en_US
dc.identifier.doi10.1155/2013/342682
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84876566186en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.1155/2013/342682
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14211
dc.identifier.wosWOS:000316872400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofAbstract And Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[Keyword Not Available]en_US
dc.titleFine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space lp ( 0 < p < ?)en_US
dc.typeArticleen_US

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