APPLICATION OF JORDAN-TYPE MATRIX OPERATOR IN THE THEORY OF SEQUENCE SPACES
Yazarlar (4)
S. Erdem
Malatya Turgut Ozal University, Türkiye
Malatya Turgut Ozal University, Türkiye
H. B. Ellidokuzoğlu
Recep Tayyip Erdogan University, Türkiye
Recep Tayyip Erdogan University, Türkiye
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
M. Kara
Düzce Üniversitesi, Türkiye
Düzce Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Palestine Journal of Mathematics | ||
| Dergi ISSN | 2219-5688 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2026 |
| Cilt / Sayı / Sayfa | 15 / 1 / 654–672 | DOI | – |
| Makale Linki | https://www.researchgate.net/profile/Serkan-Demiriz/publication/401710474_APPLICATION_OF_JORDAN-TYPE_MATRIX_OPERATOR_IN_THE_THEORY_OF_SEQUENCE_SPACES/links/69af3002a91b826e43488a70/APPLICATION-OF-JORDAN-TYPE-MATRIX-OPERATOR-IN-THE-THEORY-OF-SEQUENCE- | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| This 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. |
| Anahtar Kelimeler |
| compact operators | Hausdorff measure of non-compactness | Jordan-type function | matrix mappings | sequence spaces |
