On Absolute Norlund Spaces and Matrix Operators

In a more recent paper, the second author has introduced a space |C α | k as the set of all series by absolute summable using Cesaro matrix of order α > −1. In the present paper we extend it to the absolute Norlund space |N | k taking Norlund matrix in place of Cesaro matrix, and also examine some topological structures, α-β-γ-duals and the Schauder base of this space. Further we characterize certain matrix operators on that space and determine their operator norms, and so extend some well-known results.