ON THE JORDAN-TYPE SEQUENCE SPACES WHICH INCLUDE THE SPACES c AND c0 AND COMPACT OPERATORS
Küçük Resim Yok
Tarih
2026
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
11B83, 40A05, 46A35, 46A45, Compact operators, Duals, Jordan-type function, Matrix transformations, Sequence spaces
Kaynak
Journal of Mathematical Sciences (United States)
WoS Q Değeri
Scopus Q Değeri
Q4
