Characterizations of Unconditionally Convergent andWeakly Unconditionally Cauchy Series via wRp -Summability, Orlicz-Pettis Type Theorems and Compact Summing Operator

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dc.contributor.authorKarakus, Mahmut
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:53:22Z
dc.date.available2024-08-04T20:53:22Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present paper, we give a new characterization of unconditional convergent series and give some new versions of the Orlicz-Pettis theorem via FQ s-family and a natural family F with the separation property S1 through wRp -summability which may be considered as a generalization of the well-known strong p-Ces`aro summability. Among other results, we obtain a new (weak) compactness criteria for the summing operator.en_US
dc.identifier.doi10.2298/FIL2218347K
dc.identifier.endpage6358en_US
dc.identifier.issn0354-5180
dc.identifier.issue18en_US
dc.identifier.scopus2-s2.0-85146816852en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage6347en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2218347K
dc.identifier.urihttps://hdl.handle.net/11616/101136
dc.identifier.volume36en_US
dc.identifier.wosWOS:000971825000022en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectValued Multiplier Spacesen_US
dc.subjectNormed Spacesen_US
dc.subjectCompletenessen_US
dc.titleCharacterizations of Unconditionally Convergent andWeakly Unconditionally Cauchy Series via wRp -Summability, Orlicz-Pettis Type Theorems and Compact Summing Operatoren_US
dc.typeArticleen_US

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