Fibonomial matrix and its domain in the spaces $\ell_p$ and $\ell_{\infty}$

Abstract

: In this paper, we introduce the fibonomial sequence spaces b r,s,Fp and b r,s,F ∞ , and show that these are BK-spaces. Also, we prove that these new spaces are linearly isomorphic to ℓ p and ℓ ∞ . Moreover, we determine the α -, β -, γ -duals for these new spaces and characterize some matrix classes. The final section is devoted to the investigation of some geometric properties of the newly defined space b r,s,Fp .