Abstract:
We introduce Lambda-Pascal sequence spaces lq (G), c0(G), c(G) and l∞(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 lq (G), c0(G), c(G) and l∞(G) are BK-spaces and linearly isomorphic to lq , c0, c and l∞, respectively. We construct Schauder bases and obtain α-, β- and γ -duals of the new spaces. We state and prove characterization theorems related to matrix transformation from the space lq (G) to the spaces l∞, c and c0. Finally, we determine necessary and sufficient conditions for a matrix operator to be compact from the space c0(G) to any one of the spaces l∞, c, c0 or l1. © 2022 Rocky Mountain Mathematics Consortium. All rights reserved.