Some <i>A</i>-numerical radius inequalities for semi-Hilbertian space operators
Nirmal Chandra Rout, Satyajit Sahoo, Debasisha Mishra
Abstract
In this article, we obtain some upper bounds for A-numerical radius of operators in semi-Hilbertian spaces which improve the existing ones. Furthermore, we discuss some generalizations of earlier A-numerical radius inequalities. We also establish several inequalities for B-numerical radius of n×n operator matrices, where B is an n×n diagonal matrix whose diagonal entries are positive operator A.
Topics & Concepts
MathematicsDiagonalRADIUSOperator matrixOperator (biology)Diagonal matrixMatrix (chemical analysis)Pure mathematicsMathematical analysisGeometryComputer scienceGeneComposite materialMaterials scienceBiochemistryChemistryRepressorComputer securityTranscription factorMathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsHolomorphic and Operator Theory