Yaying, TajaBasar, Feyzi2024-08-042024-08-0420220035-75961945-3795https://doi.org/10.1216/rmj.2022.52.1089https://hdl.handle.net/11616/100772We introduce Lambda-Pascal sequence spaces l(q) (G), c0(G), c(G) and l8(G) generated by the matrix G which is obtained by the product of Pascal matrix and 3-matrix. It is proved that the Lambda-Pascal sequence spaces l (q) ( G), c(0)(G), c(G) and l(infinity)(G) are BK-spaces and linearly isomorphic to l (q), c(0), c and l(infinity), respectively. We construct Schauder bases and obtain alpha-, ss- and gamma-duals of the new spaces. We state and prove characterization theorems related to matrix transformation from the space l (q) (G) to the spaces l(infinity), c and c(0). Finally, we determine necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(G) to any one of the spaces l(infinity), c, c(0) or l(1).eninfo:eu-repo/semantics/closedAccesssequence spacePascal matrixSchauder basisKothe dualsmatrix mappingscompact operatorON SOME LAMBDA-PASCAL SEQUENCE SPACES AND COMPACT OPERATORSArticle5231089110310.1216/rmj.2022.52.10892-s2.0-85133655238Q2WOS:000920545200022Q3