ON THE JORDAN-TYPE SEQUENCE SPACES WHICH INCLUDE THE SPACES c AND c0 AND COMPACT OPERATORS

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dc.contributor.authorBilgin Ellidokuzoğlu, Hacer
dc.contributor.authorErdem, Sezer
dc.contributor.authorDemiriz, Serkan
dc.contributor.authorİlkhan Kara, Merve
dc.date.accessioned2026-07-01T11:36:26Z
dc.date.available2026-07-01T11:36:26Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this study, novel sequence spaces are introduced as the domains of the Jordan-type matrix operator within the spaces of c and c0. Initially, these new spaces are defined, and their fundamental properties, including completeness and other topological characteristics, are examined. Furthermore, the existence of a Schauder basis for these spaces is established, highlighting its crucial role in their structural analysis. Next, the α-, β-, and γ-duals of the newly constructed sequence spaces are determined to provide a deeper understanding of their duality relations. Subsequently, the classes of infinite matrices that map sequences from these new spaces into classical sequence spaces, such as ℓp, ℓ∞, c, and c0, are characterized, along with the reverse transformations. Finally, attention is given to compact operators acting on these spaces, and a comprehensive characterization of their behavior is provided. Necessary and sufficient conditions for compactness are explored, and their implications in functional analysis are discussed. © The Author(s) 2026.
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu, TUBITAK
dc.identifier.doi10.1007/s10958-026-08432-0
dc.identifier.issn1072-3374
dc.identifier.scopus2-s2.0-105037756383
dc.identifier.scopusqualityQ4
dc.identifier.urihttps://doi.org/10.1007/s10958-026-08432-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23021
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Mathematical Sciences (United States)
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_Scopus_20260623
dc.subject11B83
dc.subject40A05
dc.subject46A35
dc.subject46A45
dc.subjectCompact operators
dc.subjectDuals
dc.subjectJordan-type function
dc.subjectMatrix transformations
dc.subjectSequence spaces
dc.titleON THE JORDAN-TYPE SEQUENCE SPACES WHICH INCLUDE THE SPACES c AND c0 AND COMPACT OPERATORS
dc.typeArticle

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