Bilgin Ellidokuzoğlu, HacerErdem, SezerDemiriz, Serkanİlkhan Kara, Merve2026-07-012026-07-0120261072-3374https://doi.org/10.1007/s10958-026-08432-0https://hdl.handle.net/20.500.12684/23021In 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.en10.1007/s10958-026-08432-0info:eu-repo/semantics/openAccess11B8340A0546A3546A45Compact operatorsDualsJordan-type functionMatrix transformationsSequence spacesArticle2-s2.0-105037756383Q4