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http://dx.doi.org/10.11568/kjm.2021.29.1.25

ON SEQUENCE SPACES DEFINED BY THE DOMAIN OF TRIBONACCI MATRIX IN c0 AND c  

Yaying, Taja (Department of Mathematics, Dera Natung Government College)
Kara, Merve Ilkhan (Department of Mathematics, Duzce University)
Publication Information
Korean Journal of Mathematics / v.29, no.1, 2021 , pp. 25-40 More about this Journal
Abstract
In this article we introduce tribonacci sequence spaces c0(T) and c(T) derived by the domain of a newly defined regular tribonacci matrix T. We give some topological properties, inclusion relations, obtain the Schauder basis and determine ��-, ��- and ��- duals of the spaces c0(T) and c(T). We characterize certain matrix classes (c0(T), Y) and (c(T), Y), where Y is any of the spaces c0, c or ℓ∞. Finally, using Hausdorff measure of non-compactness we characterize certain class of compact operators on the space c0(T).
Keywords
Tribonacci sequence space; Schauder basis; ${\alpha}$-, ${\beta}$-, ${\gamma}$- duals; Matrix Transformation; Hausdorff measure of non-compactness;
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