A new regular infinite matrix defined by Jordan totient function and its matrix domain in <i>ℓ</i><sub><i>p</i></sub>
Merve İlkhan, Necip Şi̇mşek, Emrah Evren Kara
Abstract
In this paper, we first define a new regular matrix by using the arithmetic function called Jordan totient function and study the matrix domain of this newly introduced matrix in the Banach space ℓ p . After computing the dual spaces of this new space, we characterize certain matrix mappings related to this space.
Topics & Concepts
Euler's totient functionMathematicsMatrix functionMatrix (chemical analysis)Function (biology)Pure mathematicsDomain (mathematical analysis)Space (punctuation)Discrete mathematicsAlgebra over a fieldSymmetric matrixMathematical analysisComputer scienceEuler's formulaBiologyQuantum mechanicsOperating systemEvolutionary biologyPhysicsComposite materialMaterials scienceEigenvalues and eigenvectorsApproximation Theory and Sequence SpacesMatrix Theory and AlgorithmsAdvanced Topics in Algebra