Almost convergent sequence spaces derived by the domain of quadruple band matrix

• Autorzy: Mustafa Cemil Bişgin
• Języki publikacji: EN

Abstrakty

EN

In this work, we construct the sequence spaces f(Q(r,s,t,u)), f0(Q(r,s,t,u)) and fs(Q(r,s,t,u)), where Q(r,s,t,u) is quadruple band matrix which generalizes the matrices Δ3, B(r,s,t), Δ2, B(r,s) and Δ, where Δ3, B(r,s,t), Δ2, B(r,s) and Δ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Moreover, we give the Schauder basis and β-, γ-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.

Słowa kluczowe

EN

matrix domain; Schauder basis; beta- and gamma-duals; Banach Limits; almost convergence and matrix classes

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2020
• Tom: 19
• Strony: 155-170

Daty

wydano

2020-07-06

Twórcy

autor

Mustafa Cemil Bişgin

• Recep Tayyip Erdoğan University, Faculty Of Arts And Sciences, Department Of Mathematics

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