Almost Sequence Spaces Derived by the Domain of the Matrix | Zendy

Ali Karaisa | Zendy; Ümit Karabıyık | Zendy

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Almost Sequence Spaces Derived by the Domain of the Matrix

Author(s) -

Ali Karaisa,

Ümit Karabıyık

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/783731

Subject(s) - schauder basis , mathematics , dual polyhedron , sequence (biology) , sequence space , pure mathematics , space (punctuation) , matrix (chemical analysis) , characterization (materials science) , birnbaum–orlicz space , interpolation space , series (stratigraphy) , banach space , functional analysis , paleontology , genetics , materials science , biochemistry , chemistry , gene , composite material , biology , nanotechnology , linguistics , philosophy

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

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