Some new sequence spaces derived by the domain of generalized difference matrix. (English) Zbl 1201.40001
Summary: Let denote any one of the classical spaces and of bounded, convergent, null and absolutely -summable sequences, respectively, and also be the domain of the generalized difference matrix in the sequence space , where . The present paper is devoted to studying on the sequence space . Furthermore, the - and -duals of the space are determined, and the Schauder bases for the spaces , and are given, and some topological properties of the spaces , and are examined. Finally, the classes and of infinite matrices are characterized, where and .
|40C05||Matrix methods in summability|