This analysis uncovers bounded linear operators and approximation properties in Banach space-valued Fibonomial sequence spaces, suggesting a connection with Schauder bases.
In this paper we have tried to reveal the properties of some Banach space-valued Fibonomial sequence spaces, in particular the properties of bounded linear operators defined on them. Further we show that these sequence spaces has a kind of Schauder basis which we introduce it in ours former works. We also prove that \(b_pr, s, F(V), 1 ≤ p<∞, and b_0r, s, F(V)\) have the approximation property under certain conditions where V is a a Banach space.
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Yılmaz Yılmaz (2025) studied this question.
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