Yazar "Erdem, Sezer" seçeneğine göre listele

Listeleniyor 1 - 1 / 1
  • Küçük Resim Yok
    Öğe
    ON THE JORDAN-TYPE SEQUENCE SPACES WHICH INCLUDE THE SPACES c AND c0 AND COMPACT OPERATORS
    (Springer, 2026) Bilgin Ellidokuzoğlu, Hacer; Erdem, Sezer; Demiriz, Serkan; İlkhan Kara, Merve
    In 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.