Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/46414
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dc.contributor.authorSarigol, Mehmet Ali-
dc.contributor.authorAgarwal, Ravi P.-
dc.date.accessioned2023-01-09T21:11:26Z-
dc.date.available2023-01-09T21:11:26Z-
dc.date.issued2021-
dc.identifier.issn1072-947X-
dc.identifier.issn1572-9176-
dc.identifier.urihttps://doi.org/10.1515/gmj-2021-2099-
dc.identifier.urihttps://hdl.handle.net/11499/46414-
dc.description.abstractIn this paper, we present a general Banach space of absolutely k-summable series using a triangle matrix operator and prove that this is a BK-space isometrically isomorphic to the space l(k). We also establish the alpha- , beta- , gamma-duals and base of the new space. Finally, we qualify some matrix and compact operators on the new space making use of the Hausdorff measure of noncompactness. Our results include, as particular cases, a number of well-known results.en_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofGeorgian Mathematical Journalen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSequence spaceen_US
dc.subjectabsolute summabilityen_US
dc.subjectmatrix mappingen_US
dc.subjectcompact operatoren_US
dc.subjectHausdorff measure of noncompactnessen_US
dc.subjectSequence-Spacesen_US
dc.subjectMatrix Transformationsen_US
dc.subjectSummability Factorsen_US
dc.subjectOperatorsen_US
dc.subjectNoncompactnessen_US
dc.subjectTheoremen_US
dc.subjectL(P)en_US
dc.titleBanach spaces of absolutely k-summable seriesen_US
dc.typeArticleen_US
dc.identifier.volume28en_US
dc.identifier.issue6en_US
dc.identifier.startpage945en_US
dc.identifier.endpage956en_US
dc.identifier.doi10.1515/gmj-2021-2099-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorscopusid57202955395-
dc.authorscopusid36013313700-
dc.identifier.scopus2-s2.0-85108101119en_US
dc.identifier.wosWOS:000723248600010en_US
dc.identifier.scopusqualityQ3-
item.grantfulltextnone-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept17.04. Mathematics-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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