A note on matrix domains of Copson matrix of order α and compact operators
M. Mursaleen
Abstract
Roopaei [J. Inequal. Appl. 2020 (2020) 120] introduced the sequence space [Formula: see text] which is a matrix domain of Copson matrix in the space [Formula: see text] [Formula: see text] In this paper, we characterize the matrix classes [Formula: see text], [Formula: see text] and [Formula: see text] [Formula: see text]. Moreover, we characterize compact operators associated with matrices belonging to these classes via the techniques of measures of noncompactness.
Topics & Concepts
Matrix (chemical analysis)Order (exchange)Sequence (biology)Space (punctuation)Sequence spaceMathematicsDomain (mathematical analysis)Algebra over a fieldPure mathematicsMatrix algebraCombinatoricsComputer sciencePhysicsMathematical analysisBanach spaceQuantum mechanicsBiologyComposite materialGeneticsFinanceMaterials scienceEconomicsEigenvalues and eigenvectorsOperating systemApproximation Theory and Sequence SpacesAdvanced Banach Space TheoryHolomorphic and Operator Theory