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Journals / Cumhuriyet Science Journal / 2017 / Cilt: 38 - Sayı: 4 ek

𝒃𝒑 𝒓,𝒔 (𝑮) Dizi Uzayı Üzerine Bir Not

A Note on the Sequence Space

Mustafa Cemil BİŞGİN

Pages
11–25
DOI
—

Abstract

In this study, we define the sequence space , ( ) derived by the composition of the Binomial matrix and generalized difference(double band) matrix and show that the space , ( ) is linearly isomorphic to the space , where ≤ < ∞. Furthermore, we mention some inclusion relations and give Schauder basis , ( ). Moreover, we determine -, - and -duals of the space , ( ). Lastly, we characterize of the space some matrix classes related to the space , ( )e 𝒃𝒑 𝒓,𝒔 (𝑮).

Özet

Bu çalışmada, Binom ve genelleştirilmiş fark(ikili band) matrislerinin kompozisyonu ile türetilen , ( ) dizi uzayı tanımlandı ve , ( ) uzayının 1