The αAB-, βAB-, γAB- and NAB-duals for Sequence Spaces

Abstract

Let A = (an;k) and B = (bn;k) be two innite matrices with real entries. The main
purpose of this paper is to generalize the multiplier space for introducing the concepts of alphaAB-, betaAB-,  gammaAB- and NAB-duals. Moreover, these duals are investigated for the sequence spaces X and X(A). The other purpose of the present study is to introduce the sequence spaces X(A,\delta ) and computing the NAB-(or Null) duals and betaAB-duals for these spaces.