Some New Paranormed Difference Sequence Spaces Derived by Fibonacci Numbers

2013/08/31 by Kara, E. E., Demiriz, S.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1309.0154

Abstract

In this study, we define new paranormed sequence spaces by the sequences of Fibonacci numbers. Furthermore, we compute the α-,β- and γ- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the Maddox's spaces c₀(q),c(q),ℓ(q) and ℓ_∞(q).

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