Almost Sequence Spaces Derived by the Domain of the Matrix Ar. (10th November 2013)

• Record Type: Journal Article
• Authors: Karaisa, Ali; Karabıyık, Ümıt
• Other Names: Başar Feyzi Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-11-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/783731
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : By using A r, we introduce the sequence spaces a f r, a f 0 r, and a fs r of normed space and BK -space and prove that a f r, a f 0 r, and a fs r are linearly isomorphic to the sequence spaces f, f 0, and fs, respectively. Further, we give some inclusion relations concerning the spaces a f r, a f 0 r, and the nonexistence of Schauder basis of the spaces fs and a fs r is shown. Finally, we determine the β - and γ -duals of the spaces a f r and a fs r . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.