On the sequence spaces involving bell numbers
Murat Karakaş
Abstract
In the present paper, we introduce a new regular matrix B~ and define the sequence space ℓp(B~). We also examine some topological properties for this space and determine α - ,β - ,γ - duals. As well, we characterize some matrix classes and investigate some geometric properties such as uniform convexity, strict convexity and super-reflexivity.
Topics & Concepts
Dual polyhedronSequence spaceMathematicsConvexitySequence (biology)Space (punctuation)Matrix (chemical analysis)Pure mathematicsCombinatoricsReflexivityDiscrete mathematicsAlgebra over a fieldBanach spaceComputer scienceOperating systemMaterials scienceEconomicsFinancial economicsGeneticsBiologySociologyComposite materialSocial scienceApproximation Theory and Sequence SpacesOptimization and Variational AnalysisFuzzy and Soft Set Theory