On Absolute Nörlund Spaces and Matrix Operators

In a more recent paper, the second author has introduced a space |C . | k as the set of all series by absolute summable using Cesàro matrix of order . > .1. In the present paper we extend it to the absolute Nörlund space |N .p| k taking Nörlund matrix in place of Cesàro matrix, and also examine some topological structures, .-.-.-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.