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arxiv: 1309.0150 · v1 · pith:44OOSZF5new · submitted 2013-08-31 · 🧮 math.FA

On The Spaces of Fibonacci Difference Null and Convergent Sequences

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keywords sequencespacesfibonaccialpha-bandbasesbeta-certain
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In the present paper, by using the band matrix F defined by the Fibonacci sequence, we introduce the sequence sequence spaces c_0(F) and c(F). Also, we give some inclusion relations and construct the bases of the spaces c_0(F) and c(F). Finally, we compute the alpha-, beta-, gamma-duals of these spaces and characterize the classes (c_0(F),X) and (c(F),X) for certain choice of the sequence space X.

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