On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences

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dc.contributor.authorRoopaei, Hadi
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:51:49Z
dc.date.available2024-08-04T20:51:49Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we investigate some properties of the domains l(p) (Gamma(n)), c(0) (Gamma(n)), c(Gamma(n)) and l(infinity)(Gamma(n)) of the Gamma matrix of order n in the classical spaces l(p), C-0, c and l(infinity) of absolutely p-summable, null, convergent and bounded sequences, respectively, and compute the alpha-, beta- and gamma-duals of these spaces. We characterize the classes of infinite matrices from the space l(p) (Gamma(n)) to the spaces l(infinity) and f, and from a normed sequence space to the gamma sequence spaces l(p)(Gamma(n)), c(0) (Gamma(n)), c(Gamma(n)) and l(infinity)(Gamma(n)). Moreover, we introduce the necessary and sufficient conditions for factorizing an operator based on the weighted mean matrices and derive the factorizations for the Cesaro and Hilbert matrices based on the Gamma matrix. Finally, we emphasize on the lower bound of operators from l(p) into l(p) (Gamma(n)), from l(p)(Gamma(n)) into l(p), from l(p) (Gamma(n)) into itself and from l(p) into itself.en_US
dc.identifier.doi10.1080/01630563.2022.2056200
dc.identifier.endpage754en_US
dc.identifier.issn0163-0563
dc.identifier.issn1532-2467
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85127358922en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage723en_US
dc.identifier.urihttps://doi.org/10.1080/01630563.2022.2056200
dc.identifier.urihttps://hdl.handle.net/11616/100577
dc.identifier.volume43en_US
dc.identifier.wosWOS:000773989300001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofNumerical Functional Analysis and Optimizationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlmost convergenceen_US
dc.subjectCesaro matrixen_US
dc.subjectHausdorff matrixen_US
dc.subjectHilbert matrixen_US
dc.subjectmatrix operatoren_US
dc.subjectnormen_US
dc.subjectsequence spaceen_US
dc.titleOn the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequencesen_US
dc.typeArticleen_US

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