Abstract
In this work, we give some results about the basic properties of the vector-valued Fibanocci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms. Instead, we de ned the concept of relative basis in [11] by generalizing the de nition of a basis in Banach spaces. Using this de nition, we can characterize certain important properties of vector- term Fibanocci sequence spaces, such as separability, Dunford-Pettis Property, approximation property, Radon-Riesz Property and Hahn-Banach extension property.
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