On Some New Generalized Difference Sequence Spaces of Nonabsolute Type

Osman Duyar, Serkan Demiriz and Osman Özdemir

Journal of Mathematics, 2014, vol. 2014, 1-13

Abstract:

We define a new triangle matrix by the composition of the matrices and . Also, we introduce the sequence spaces , and by using matrix domain of the matrix on the classical sequence spaces , and , respectively, where . Moreover, we show that the space is norm isomorphic to for . Furthermore, we establish some inclusion relations concerning those spaces and determine -, -, and -duals of those spaces and construct the Schauder bases , and . Finally, we characterize the classes of infinite matrices where and .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:876813

DOI: 10.1155/2014/876813

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