Some new sequence spaces which include the spaces lp and l?

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dc.authorscopusid23090286700
dc.authorscopusid55908183200
dc.contributor.authorAydin C.
dc.contributor.authorBaşar F.
dc.date.accessioned2024-08-04T19:59:30Z
dc.date.available2024-08-04T19:59:30Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present paper, we introduce the sequence space ar p of non-absolute type and prove that the spaces ar p and lp are linearly isomorphic for 0 < p ? ?. We also show that ar p, which includes the space lp, is a p-normed space and a BK space in the cases of 0 < p < 1 and 1 ? p ? ?, respectively. Furthermore, we give some inclusion relations and determine the ?-, ?- and ?-duals of the space ar p and construct its basis. We devote the last section of the paper to the characterization of the matrix mappings from the space ar p to some of the known sequence spaces and to some new sequence spaces. © 2005 Warsaw University. All rights reserved.en_US
dc.identifier.endpage656en_US
dc.identifier.issn0420-1213
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-33646080290en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage641en_US
dc.identifier.urihttps://hdl.handle.net/11616/90662
dc.identifier.volume38en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter de Gruyter GmbHen_US
dc.relation.ispartofDemonstratio Mathematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMatrix mappingsen_US
dc.subjectSchauder basisen_US
dc.subjectSequence spaces of non-absolute typeen_US
dc.subjectThe ?-en_US
dc.subject?- and ?-dualsen_US
dc.titleSome new sequence spaces which include the spaces lp and l?en_US
dc.typeArticleen_US

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