Characterizations of Bounded Linear Operators on Banach Space-Valued Fibonomial Sequence Spaces
YILMAZ YILMAZ *
Department of Mathematics, Inonu University, 44280, Malatya, Turkiye.
*Author to whom correspondence should be addressed.
Abstract
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 \(b_p^{r, s, F}(V), 1 \leq p<\infty, \text { and } b_0^{r, s, F}(V)\) have the approximation property under certain conditions where V is a a Banach space.
Keywords: Fibonomial sequence spaces, approximation property, vector-valued sequence spaces, banach space