Yaying, TajaHazarika, BipanBasar, Feyzi2024-08-042024-08-0420222346-8092https://hdl.handle.net/11616/100896In this study, we construct the q-analog P(q) of Pascal matrix and study the sequence spaces c(P(q)) and c(0)(P(q)) defined as the domain of q-Pascal matrix P(q) in the spaces c and c(0), respectively. We investigate certain topological properties, determine Schauder bases and compute Kothe duals of the spaces c(0)(P(q)) and c(P(q)). We state and prove the theorems characterizing the classes of matrix mappings from the space c(P(q)) to the spaces l(infinity) of bounded sequences and f of almost convergent sequences. Additionally, we also derive the characterizations of some classes of infinite matrices as a direct consequence of the results about the classes (c(P (q)), l(infinity)) and (c(P(q)), f)). Finally, we obtain the necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(P (q)) to anyone of the spaces l(infinity), c, c(0), l(1), cs(0), cs, bs.eninfo:eu-repo/semantics/closedAccessSequence spaceq-Pascal matrixSchauder basisKothe dualsMatrix mappingsCompact operatorArticle1761991132-s2.0-85138203474Q4WOS:000774299000008N/A