A generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theorem

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dc.authoridKarakuş, Mahmut/0000-0002-4468-629X
dc.authorwosidKarakuş, Mahmut/HHY-8747-2022
dc.contributor.authorKarakus, Mahmut
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:46:03Z
dc.date.available2024-08-04T20:46:03Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, we give a slight generalization of almost convergence and introduce some new multiplier spaces associated to a series k xk in a normed space X by means of this new summability method. We also obtain some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X *, respectively. Finally, we give a version of the Orlicz-Pettis theorem, as an application of this new method and an unconditionally convergent series k xk in a normed space X.en_US
dc.identifier.doi10.1007/s13398-019-00701-9
dc.identifier.endpage3475en_US
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85068745259en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage3461en_US
dc.identifier.urihttps://doi.org/10.1007/s13398-019-00701-9
dc.identifier.urihttps://hdl.handle.net/11616/98863
dc.identifier.volume113en_US
dc.identifier.wosWOS:000483725900035en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Italia Srlen_US
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAlmost convergenceen_US
dc.subjectwuC seriesen_US
dc.subjectuc seriesen_US
dc.subjectOrlicz-Pettis theoremen_US
dc.titleA generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theoremen_US
dc.typeArticleen_US

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