Bounds of numerical radius of bounded linear operators using t-Aluthge transform
Santanu Bag, Pintu Bhunia, Kallol Paul
Abstract
We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of t -Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.
Topics & Concepts
MathematicsBounded functionLinear operatorsRADIUSBounded operatorMathematical analysisSpectral radiusPure mathematicsEigenvalues and eigenvectorsComputer sciencePhysicsComputer securityQuantum mechanicsMatrix Theory and AlgorithmsMathematical functions and polynomialsIterative Methods for Nonlinear Equations