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On Some New Generalized Difference Sequence Spaces of Nonabsolute Type

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  • Osman Duyar
  • Serkan Demiriz
  • Osman Özdemir

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 .

Suggested Citation

  • Osman Duyar & Serkan Demiriz & Osman Özdemir, 2014. "On Some New Generalized Difference Sequence Spaces of Nonabsolute Type," Journal of Mathematics, Hindawi, vol. 2014, pages 1-13, September.
    • Handle: RePEc:hin:jjmath:876813
    DOI: 10.1155/2014/876813
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