On the factorable spaces of absolutely p-summable, null, convergent, and bounded sequences

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dc.contributor.authorBasar, Feyzi
dc.contributor.authorRoopaei, Hadi
dc.date.accessioned2024-08-04T20:50:57Z
dc.date.available2024-08-04T20:50:57Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractLet F denote the factorable matrix and X is an element of {l(p), c(0), c, l(infinity)}. In this study, we introduce the domains X(F) of the factorable matrix in the spaces X. Also, we give the bases and determine the alpha-, beta- and gamma-duals of the spaces X(F). We obtain the necessary and sufficient conditions on an infinite matrix belonging to the classes (l(p)(F), l(infinity)), (l(p)(F), f) and (X, Y(F)) of matrix transformations, where Y denotes any given sequence space. Furthermore, we give the necessary and sufficient conditions for factorizing an operator based on the matrix F and derive two factorizations for the Cesaro and Hilbert matrices based on the Gamma matrix. Additionally, we investigate the norm of operators on the domain of the matrix F. Finally, we find the norm of Hilbert operators on some sequence spaces and deal with the lower bound of operators on the domain of the factorable matrix.en_US
dc.identifier.doi10.1515/ms-2021-0059
dc.identifier.endpage1400en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85121836957en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1375en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2021-0059
dc.identifier.urihttps://hdl.handle.net/11616/100382
dc.identifier.volume71en_US
dc.identifier.wosWOS:000736982100004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectdomain of factorable matrixen_US
dc.subjectalmost convergenceen_US
dc.subjectweighted mean matrixen_US
dc.subjectHilbert matrixen_US
dc.subjectgamma matrixen_US
dc.subjectCesaro matrixen_US
dc.titleOn the factorable spaces of absolutely p-summable, null, convergent, and bounded sequencesen_US
dc.typeArticleen_US

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