On the Spaces of N ¨ orlund Almost Null and N ¨ orlund Almost Convergent Sequences

In this article, the sequence spaces f0(N t ) and f (N t ) are introduced as the domain of N ¨ orlund mean in the spaces f0 and f of almost null and almost convergent sequences which are isomorphic to the spaces f0 and f , respectively, and some inclusion relations are given. Additionally, alpha, beta and gamma duals of the sequence spaces f0(N t ) and f (N t ) are determined. Finally, the classes ( (N t ) : ) and ( : (N t )) of matrix transformations are characterized for given sequence spaces and together with two Steinhaus type results.