APPLICATION OF JORDAN-TYPE MATRIX OPERATOR IN THE THEORY OF SEQUENCE SPACES

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dc.contributor.authorErdem, S.
dc.contributor.authorEllidokuzoğlu, H.B.
dc.contributor.authorDemiriz, S.
dc.contributor.authorKara, M.İ.
dc.date.accessioned2026-06-19T06:32:08Z
dc.date.available2026-06-19T06:32:08Z
dc.date.issued2026
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractThis research introduces a novel regular matrix operator uniquely characterized by an arithmetic Jordan-type function. The study primarily investigates its domains in the sequence spaces of absolutely p-summable and bounded sequences, establishing the theoretical framework supporting these analyses. It further explores fundamental properties, inclusion relations, and the Schauder basis of these spaces, providing insights into their topological and functional structure. The identification of α-, β-and γ-duals enhances the theoretical contributions by offering a dual perspective on the studied spaces. Additionally, the classification of certain matrix classes aids in characterizing the operator’s action across different mathematical settings. Finally, a detailed examination of a specific class of compact operators acting on the newly introduced sequence spaces highlights their significance and applicability. © Palestine Polytechnic University-PPU 2026.
dc.identifier.endpage672
dc.identifier.issn2219-5688
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105033110494
dc.identifier.scopusqualityQ3
dc.identifier.startpage654
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5008
dc.identifier.volume15
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPalestine Polytechnic University
dc.relation.ispartofPalestine Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260612
dc.subjectCompact Operators
dc.subjectHausdorff Measure Of Non-Compactness
dc.subjectJordan-Type Function
dc.subjectMatrix Mappings
dc.subjectSequence Spaces
dc.titleAPPLICATION OF JORDAN-TYPE MATRIX OPERATOR IN THE THEORY OF SEQUENCE SPACES
dc.typeArticle

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