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

Year 2020, Volume: 10 Issue: 2, 321 - 329, 15.04.2020

Gülsen Kılınç

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

Abstract

In
this study, it is defined almost sequence spaces f(Λ ̂ ), f_0(Λ ̂ ) and fs(Λ ̂ ) as domain of the
matrix . ∆_u^λ Some topological
properties of these spaces are investigated and determined β-,  γ- duals of aforementioned sequence space. Futhermore, it is
characterized the class of matrices (f(Λ ̂ ): μ), (fs(Λ ̂ ):μ),( μ:f(Λ ̂ )) and  ( μ:fs(Λ ̂), where μ is any given
sequence space. 

Keywords

Almost convergent, dual spaces, matrix transformations, matrix domain of a sequence space, sequence spaces

∆_u^λ Matrisi Yardımıyla Tanımlanan Yeni Bir Hemen Hemen Yakınsak Dizi Uzayı Üzerine

Abstract

Bu
çalışmada  ∆_u^λ matrisinin etki alanları olarak f(Λ ̂ ), f_0(Λ ̂ ) ve fs(Λ ̂ ) hemen hemen
yakınsak dizi uzayları tanımlandı. Bu uzayların bazı topolojik özellikleri
incelendi ve β-,  γ- dualleri belirlendi.
Ayrıca,(f(Λ ̂ ): μ), (fs(Λ ̂ ):μ),( μ:f(Λ ̂ )) ve ( μ:fs(Λ ̂),  matris sınıfları karakterize edildi.

Keywords

Hemen hemen yakınsaklık, dual uzaylar, matris dönüşümleri, bir dizi uzayının matris etki alanı, dizi uzayları

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