Abstract

Abstract In this article we introduce Tribonacci sequence spaces ℓp (T) (1 ≤ p ≤ ∞) derived by the domain of a newly defined regular Tribonacci matrix. We give some topological properties, inclusion relation, obtain the Schauder basis and determine the α-, β- and γ-duals of the new spaces. We characterize the matrix classes on ℓp (T). Finally, we give some geometric properties of the space ℓp (T).

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