A novel conservative matrix arising from Schröder numbers and its properties
Muhammet Cihat Dağlı
Abstract
In this paper, we introduce a new conservative matrix involving Schröder numbers and investigate its matrix domain in the sequence spaces c and c0. Furthermore, the Köthe–Toeplitz dual, generalized Köthe–Toeplitz dual and Garling dual are expressed and several matrix transformations are given based on the new Banach spaces.
Topics & Concepts
Toeplitz matrixMathematicsMatrix (chemical analysis)Dual (grammatical number)Sequence (biology)Pure mathematicsBanach spaceAlgebra over a fieldBiologyLiteratureArtMaterials scienceComposite materialGeneticsApproximation Theory and Sequence SpacesMatrix Theory and AlgorithmsMathematical Inequalities and Applications