On sequence spaces defined by the domain of a regular Tribonacci matrix

Year, pages: 2020, 697 - 706

In this article we introduce Tribonacci sequence spaces $\ell_p(T)$ $(1≤ p≤ ∞)$ 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 $\ell_p(T).$ Finally, we give some geometric properties of the space $\ell_p(T).$

Yaying, T., Hazarika, B. 2020. On sequence spaces defined by the domain of a regular Tribonacci matrix. In Mathematica Slovaca, vol. 70, no.3, pp. 697-706. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0383

Yaying, T., Hazarika, B. (2020). On sequence spaces defined by the domain of a regular Tribonacci matrix. Mathematica Slovaca, 70(3), 697-706. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0383

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava