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In this article we introduce tribonacci sequence spaces c(0)(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 alpha-, beta- and gamma- duals of the spaces c(0)(T) and c(T). We characterize certain matrix classes (c(0)(T), Y) and (c(T), Y), where Y is any of the spaces c(0), c or l(infinity). Finally, using Hausdorff measure of non-compactness we characterize certain class of compact operators on the space c(0)(T). Science and Engineering Research Board (SERB), New Delhi, India [EEQ/2019/000082] The research is supported by Science and Engineering Research Board (SERB), New Delhi, India, under the grant EEQ/2019/000082. WOS:000635717200003 |
