Yaying, T.Kara, Merve İlkhanHazarika, B.Kara, Emrah,Evren2023-07-262023-07-2620230354-5180https://doi.org/10.2298/FIL2303839Yhttps://hdl.handle.net/20.500.12684/12830In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0 (C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0 (C(q)) and c(C(q)) to the space µ = {??, c0, c, ?1 } and give the necessary and sufficient conditions for a matrix operator to be compact. © 2023, University of Nis. All rights reserved.en10.2298/FIL2303839Yinfo:eu-repo/semantics/closedAccessCompact operatorHausdorff measure of non-compactnessMatrix mappingsq-Catalan matrixSchauder basisSequence space?-, ?-, ?-dualsArticle3738398502-s2.0-85146816532WOS:000924043300012Q3Q2