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

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.

Anahtar Kelimeler:

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

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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