Further Inequalities for the Weighted Numerical Radius of Operators
Najla Altwaijry, Kais Feki, Nicuşor Minculete
Abstract
This paper deals with the so-called A-numerical radius associated with a positive (semi-definite) bounded linear operator A acting on a complex Hilbert space H. Several new inequalities involving this concept are established. In particular, we prove several estimates for 2×2 operator matrices whose entries are A-bounded operators. Some of the obtained results cover and extend well-known recent results due to Bani-Domi and Kittaneh. In addition, several improvements of the generalized Kittaneh estimates are obtained. The inequalities given by Feki in his work represent a generalization of the inequalities given by Kittaneh. Some refinements of the inequalities due to Feki are also presented.
Topics & Concepts
Hilbert spaceBounded functionMathematicsInequalityOperator (biology)GeneralizationCover (algebra)Bounded operatorPure mathematicsRADIUSLinear operatorsApplied mathematicsMathematical analysisComputer scienceTranscription factorComputer securityGeneMechanical engineeringEngineeringRepressorChemistryBiochemistryMathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsHolomorphic and Operator Theory