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Almost Sequence Spaces Derived by the Domain of the Matrix

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  • Ali Karaisa
  • Ümıt Karabıyık

Abstract

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.

Suggested Citation

  • Ali Karaisa & Ümıt Karabıyık, 2013. "Almost Sequence Spaces Derived by the Domain of the Matrix," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:783731
    DOI: 10.1155/2013/783731
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