Almost Sequence Spaces Derived by the Domain of the Matrix Ar

Ali Karaisa and Ümıt Karabıyık

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: By using Ar, we introduce the sequence spaces afr, af0r, and afsr of normed space and BK‐space and prove that afr, af0r, and afsr are linearly isomorphic to the sequence spaces f, f0, and fs , respectively. Further, we give some inclusion relations concerning the spaces afr, af0r, and the nonexistence of Schauder basis of the spaces fs and afsr is shown. Finally, we determine the β‐ and γ‐duals of the spaces afr and afsr. Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/783731

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:783731

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().