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    A study on q-analogue of Catalan sequence spaces
    (University of Nis, 2023) Yaying, T.; Kara, Merve İlkhan; Hazarika, B.; Kara, Emrah,Evren
    In 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.