Some new sequence spaces derived by the domain of the triple band matrix. (English) Zbl 1228.40006
Summary: Let denote any of the classical spaces , and of bounded, convergent, null, and absolutely -summable sequences, respectively, and let also be the domain of the triple band matrix in the sequence space , where . The present paper is devoted to studying the sequence space . Furthermore, the - and -duals of the space are determined, 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|
|40H05||Functional analytic methods in summability|
|46B45||Banach sequence spaces|