A New Outlook for Almost Convergent Sequence Spaces

Murat Candan

doi:10.17776/csj.383311

EN TR

A New Outlook for Almost Convergent Sequence Spaces

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.

Keywords

Almost convergence,Generalized weigheted mean,Sequence space,,Matrix transformations

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Murat Candan ^*
Türkiye

Publication Date

March 16, 2018

Submission Date

January 24, 2018

Acceptance Date

February 27, 2018

Published in Issue

Year 2018 Volume: 39 Number: 1

DOI

https://doi.org/10.17776/csj.383311

IZ

https://izlik.org/JA37DF53KJ

Cite

RIS / Bibtex

APA

Candan, M. (2018). A New Outlook for Almost Convergent Sequence Spaces. Cumhuriyet Science Journal, 39(1), 34-46. https://doi.org/10.17776/csj.383311

Cited By

On A New Almost Convergent Sequence Space Defined By The Matrix ∆_u^λ

Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi

https://doi.org/10.17714/gumusfenbil.639476

A New Outlook for Almost Convergent Sequence Spaces

A New Outlook for Almost Convergent Sequence Spaces

Abstract

Keywords

Hemen Hemen Yakınsak Dizi Uzaylar için Yeni Bir Bakış

Öz

Anahtar Kelimeler

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

On A New Almost Convergent Sequence Space Defined By The Matrix ∆_u^λ