Almost Sequence Spaces Derived by the Domain of the Matrix

Ali Karaisa and Ümıt Karabıyık

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:783731

DOI: 10.1155/2013/783731

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