Sifat Relasi pada Ruang Barisan (N ̅,q)

Authors

  • Salwa Universitas Mataram
  • Qurratul Aini Universitas Mataram

Keywords:

sequence space, dual β, relation

Abstract

Sequence space is one of the topics that is often researched by researchers in the field of mathematical analysis. Such as the properties of its completeness and the relation between the sequence spaces. However, this study aims to see how the proerties of the relation in the sequence space  and its dual β. This research determine several theorems related to the relation between the sequence space  with its dual β.

References

Altay, Bilal and Basar, Feyzi. (2007). Generalization Of The Sequence Spaces l(p) Derived By Weighted Mean. J. Math. Anal. Appl. 330 (2007) 174–185

Basar, Feyzi and Tug, Orhan. (2016). On the Spaces of Norlund Almost Null and Norlund Almost Convergent Sequences. Faculty of Sciences and Mathematics,University of Niˇs, Serbia. 30:3, 773–783

Basar, Feyzi. (2013). Survey On The Domain Of The Matrix Lambda In The Normed And Paranormed Sequence Spaces. Commun.Fac.Sci.Univ.Ank.Series A1 Volume 62, Numb er 1, Pages 45.59

Eberhard, Malcowsky. (2013). Measures of noncompactness and some applications. Contemporary Analysis and Applied Mathematics. Vol.1, No.1, 2-19

Eberhard, Malkowsky and V. Rakocevic. (2007). Measure of noncompacness of linear operator between spaces of sequences that are (N ̅,q) seummabel or bounded, Czechoslovac Math. Journal., 51 (3) 1146-1163

Godefroy, Gilles. (2001). The Banach Spaces c_0. Extracta Mathematicae Vol. 16, Num. 1, 1 – 25

Hadi, Roopaei and Foroutannia, Davound. (2016). A New Sequence Spaces And Norm Of Certain Matrix Operators On This Spaces. Sahand Communications in Mathematical Analysis (SCMA) Vol. 3 No. 1 (2016), 1-12

I.J. Maddox. (1984). Elements Of Functional Analysis, Cambridge: University Press.

Khan, F.M. and Khan, Mushir A. (1994). Matrix Transformation Between Cesaro Sequence Spaces. Indian J. Pure Appl Math., 25 (6): 641-645

Mursaleen, M and Noman A.K. (2010). on the Spaces of λ-Convergent and Bounded Sequences, Thai Journal of Mathematics, 8 (2) 311-329

Salwa, dkk., (2021). β-dual dari ruang barisan (N ̅,∆λ)_0,(N ̅,∆λ) dan (N ̅,∆λ)_∞. Jurnal Matematika Vol. 11, No.2, Desember 2021, pp. 119-124

Wilansky, Albert. (1984). Summability Through Functional Analysis. Amsterdam:North-Holand.

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Published

2022-12-22

How to Cite

Salwa, & Aini, Q. (2022). Sifat Relasi pada Ruang Barisan (N ̅,q) . Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 7, 53–36. Retrieved from https://conference.upgris.ac.id/index.php/senatik/article/view/3328

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