By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces and is shown. Finally, we determine the - and -duals of the spaces and . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.
"Almost Sequence Spaces Derived by the Domain of the Matrix ." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/783731