Yaying, TajaBasar, Feyzi2024-08-042024-08-0420240163-05631532-2467https://doi.org/10.1080/01630563.2024.2349003https://hdl.handle.net/11616/101980This article intends to develop q-Catalan sequence spaces l(p)(C(q)) and l(infinity)(C(q)) due to q-Catalan matrix C(q) in lp and l infinity, respectively. Apart from obtaining some basic topological properties and Schauder basis, we compute alpha-, beta-, and gamma-duals of the spaces l(p)(C(q)) and l(infinity)(C(q)). We state and prove a theorem that characterize certain matrix classes (X, Y), where X is either of the space l(p)(C(q)) or l(infinity)(C(q)) and Y is an element of{l(infinity),c(0),c,l(1)}. The final section is devoted to determination of certain conditions by which a matrix operator becomes compact.eninfo:eu-repo/semantics/closedAccessCompactdualsmatrix transformationoperatorq-Catalan matrixsequence spaceArticle454-637339310.1080/01630563.2024.23490032-s2.0-85192526655Q2WOS:001217119900001N/A