A Note on the Sequence Space

BİŞGİN, Mustafa Cemil

A Note on the Sequence Space

Mustafa Cemil BİŞGİN (.Recep Tayyip Erdoğan University, Faculty Of Arts And Sciences, Department Of Mathematics, Zihni Derin Campus, 53100 Rize / TURKEY)

Cumhuriyet Science Journal

2 0

Yıl: 2017 Cilt: 38 Sayı: 4 ek Sayfa Aralığı: 11 - 25 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

A Note on the Sequence Space

Öz:

Bu çalışmada, Binom ve genelleştirilmiş fark(ikili band) matrislerinin kompozisyonu ile türetilen , ( ) dizi uzayı tanımlandı ve , ( ) uzayının 1 <= < ? durumlarında uzayına lineer olarak izomorfik olduğu gösterildi. Ayrıca, bazı kapsama bağıntılarından bahsedildi ve , ( ) uzayının Schauder bazı verildi. Bundan başka, , ( ) uzayının -, - ve -dualleri belirlendi. Son olarak, , ( ) uzayı ile ilgili bazı matris sınıfları karakterize edildi.

Anahtar Kelime:

𝒃𝒑 𝒓,𝒔 (𝑮) Dizi Uzayı Üzerine Bir Not

Öz:

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).

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	BİŞGİN M (2017). A Note on the Sequence Space. , 11 - 25.
Chicago	BİŞGİN Mustafa Cemil A Note on the Sequence Space. (2017): 11 - 25.
MLA	BİŞGİN Mustafa Cemil A Note on the Sequence Space. , 2017, ss.11 - 25.
AMA	BİŞGİN M A Note on the Sequence Space. . 2017; 11 - 25.
Vancouver	BİŞGİN M A Note on the Sequence Space. . 2017; 11 - 25.
IEEE	BİŞGİN M "A Note on the Sequence Space." , ss.11 - 25, 2017.
ISNAD	BİŞGİN, Mustafa Cemil. "A Note on the Sequence Space". (2017), 11-25.

APA	BİŞGİN M (2017). A Note on the Sequence Space. Cumhuriyet Science Journal, 38(4 ek), 11 - 25.
Chicago	BİŞGİN Mustafa Cemil A Note on the Sequence Space. Cumhuriyet Science Journal 38, no.4 ek (2017): 11 - 25.
MLA	BİŞGİN Mustafa Cemil A Note on the Sequence Space. Cumhuriyet Science Journal, vol.38, no.4 ek, 2017, ss.11 - 25.
AMA	BİŞGİN M A Note on the Sequence Space. Cumhuriyet Science Journal. 2017; 38(4 ek): 11 - 25.
Vancouver	BİŞGİN M A Note on the Sequence Space. Cumhuriyet Science Journal. 2017; 38(4 ek): 11 - 25.
IEEE	BİŞGİN M "A Note on the Sequence Space." Cumhuriyet Science Journal, 38, ss.11 - 25, 2017.
ISNAD	BİŞGİN, Mustafa Cemil. "A Note on the Sequence Space". Cumhuriyet Science Journal 38/4 ek (2017), 11-25.