A New Outlook for Almost Convergent Sequence Spaces

Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 1

Abstract

The point standing out in the present paper is the sequence spaces ,  and produced by the domain of the infinite matrix , which is defined in the previous study of Candan [2], where the spaces ,  and , respectively, are as presented by G.G. Lorentz utilizing the issue of the Banach limits (Acta.  Math.  80.  1948, 167-190), andis the double sequential band matrix and G is the generalized weighted mean. Firstly, it is shown that aforementioned spaces are linearly isomorhic to the spaces ,  and , respectively. In addition to these, andduals of the spaces  and  are given. Beyond them, the classes  and   of infinite matrices are characterized, where  is a given sequence space.

Authors and Affiliations

Murat CANDAN

Keywords

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  • EP ID EP488490
  • DOI 10.17776/csj.383311
  • Views 78
  • Downloads 0

How To Cite

Murat CANDAN (2018). A New Outlook for Almost Convergent Sequence Spaces. Cumhuriyet Science journal, 39(1), 34-46. https://europub.co.uk/articles/-A-488490