Matrix mappings and compact operators for Schröder sequence spaces
Muhammet Cihat Dağlı
Abstract
In this paper, we discuss the domain of a recently defined conservative matrix, constructed by means of the Schröder numbers in the spaces of $p-$absolutely summable sequences and bounded sequences. We determine the $\beta-$duals of the Banach spaces, introduced here, and present characterization of some matrix operators. Moreover, we give the characterization of certain compact operators via the Hausdorff measure of noncompactness.
Topics & Concepts
MathematicsHausdorff spaceCharacterization (materials science)Dual polyhedronSequence (biology)Matrix (chemical analysis)Pure mathematicsBanach spaceHausdorff measureBounded functionMeasure (data warehouse)Compact-open topologyCompact operatorLp spaceInterpolation spaceDiscrete mathematicsMathematical analysisFunctional analysisHausdorff dimensionExtension (predicate logic)GeneticsChemistryBiochemistryMaterials scienceProgramming languageComposite materialGeneComputer scienceBiologyDatabaseNanotechnologyApproximation Theory and Sequence SpacesAdvanced Banach Space TheoryAdvanced Harmonic Analysis Research