New Banach Sequence Spaces Defined by Jordan Totient Function
Uskan DEVLETLİ, Merve İlkhan
Abstract
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are characterized.
Topics & Concepts
Dual polyhedronMathematicsEuler's totient functionPure mathematicsMatrix (chemical analysis)Mathematical analysisMaterials scienceComposite materialEuler's formulaApproximation Theory and Sequence SpacesAdvanced Banach Space TheoryFuzzy and Soft Set Theory