ON SOME LAMBDA-PASCAL SEQUENCE SPACES AND COMPACT OPERATORS

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dc.authoridYaying, Taja/0000-0003-3435-8417
dc.contributor.authorYaying, Taja
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:52:07Z
dc.date.available2024-08-04T20:52:07Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe introduce Lambda-Pascal sequence spaces l(q) (G), c0(G), c(G) and l8(G) generated by the matrix G which is obtained by the product of Pascal matrix and 3-matrix. It is proved that the Lambda-Pascal sequence spaces l (q) ( G), c(0)(G), c(G) and l(infinity)(G) are BK-spaces and linearly isomorphic to l (q), c(0), c and l(infinity), respectively. We construct Schauder bases and obtain alpha-, ss- and gamma-duals of the new spaces. We state and prove characterization theorems related to matrix transformation from the space l (q) (G) to the spaces l(infinity), c and c(0). Finally, we determine necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(G) to any one of the spaces l(infinity), c, c(0) or l(1).en_US
dc.description.sponsorshipDST SERB, New Delhi, India [EEQ/2019/000082]en_US
dc.description.sponsorshipThe research of Yaying is funded by DST SERB, New Delhi, India, under the grant EEQ/2019/000082.en_US
dc.identifier.doi10.1216/rmj.2022.52.1089
dc.identifier.endpage1103en_US
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85133655238en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1089en_US
dc.identifier.urihttps://doi.org/10.1216/rmj.2022.52.1089
dc.identifier.urihttps://hdl.handle.net/11616/100772
dc.identifier.volume52en_US
dc.identifier.wosWOS:000920545200022en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRocky Mt Math Consortiumen_US
dc.relation.ispartofRocky Mountain Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectsequence spaceen_US
dc.subjectPascal matrixen_US
dc.subjectSchauder basisen_US
dc.subjectKothe dualsen_US
dc.subjectmatrix mappingsen_US
dc.subjectcompact operatoren_US
dc.titleON SOME LAMBDA-PASCAL SEQUENCE SPACES AND COMPACT OPERATORSen_US
dc.typeArticleen_US

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