Fark Seri Uzayları ve Matris Dönüşümleri

Abstract

Bu çalışmada, Cesàro ortalaması ve fark operatörü kullanılarak yeni bir |C_α |_p (∇) seri uzayı tanımlanmıştır. Bu yeni |C_α |_p (∇) uzayının bir BK- uzayı olduğu ve Schauder bazına sahip olduğu gösterilmiştir. Ayrıca, |C_α |_p (∇) uzayının α, β, and γ- dualleri hesaplanmış ve |C_α |_p (∇) uzayından X={l_∞,c,c_0} uzayına matris dönüşümleri karakterize edilmiştir.

Keywords

• Fark Dizi Uzayları,Matris Operatörleri,BK Uzayları,α-β ve γ- dualleri

Difference Series Spaces and Matrix Transformations

Abstract

This paper deals with new series space |C_α |_p (∇) introduced by using Cesàro means and difference operator. It is shown that this newly defined space |C_α |_p (∇) is a BK- space and has Schauder basis. Furthermore, the α, β, and γ-duals of |C_α |_p (∇) are computed and the characterizations of classes of matrix mappings from |C_α |_p (∇) to X={l_∞,c,c_0} are also given.

Keywords

• Difference sequence spaces,Matrix operators,BK spaces,α- β and γ-duals

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