On sequence spaces defined by the domain of a regular tribonacci matrix
Taja Yaying, Bipan Hazarika
Abstract
Abstract In this article we introduce Tribonacci sequence spaces ℓ 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 ℓ p ( T ). Finally, we give some geometric properties of the space ℓ p ( T ).
Topics & Concepts
Dual polyhedronMathematicsSchauder basisSequence (biology)Matrix (chemical analysis)Domain (mathematical analysis)Sequence spaceSpace (punctuation)Pure mathematicsCombinatoricsDiscrete mathematicsBanach spaceMathematical analysisComputer scienceComposite materialGeneticsOperating systemMaterials scienceBiologyAdvanced Mathematical Theories and ApplicationsFuzzy and Soft Set TheoryDigital Image Processing Techniques