A new paranormed sequence space defined by Catalan conservative matrix
Pınar Zengin
Abstract
In this study, by using the Catalan conservative matrix, we define a new paranormed sequence space and show that the space is linearly isomorphic to ℓ ( p ). Also, we determine dual spaces and the Schauder basis of the resulting space.
Topics & Concepts
MathematicsCatalanSchauder basisSequence (biology)Space (punctuation)Sequence spaceMatrix (chemical analysis)Catalan numberBasis (linear algebra)Pure mathematicsAlgebra over a fieldCombinatoricsGeometryBanach spaceHumanitiesComputer sciencePhilosophyMaterials scienceBiologyGeneticsComposite materialOperating systemApproximation Theory and Sequence SpacesAdvanced Banach Space TheoryFuzzy and Soft Set Theory