Some Numerical Radius Inequalities in Semi-Hilbert Space
The numerical radius was studied in semi-Hilbert space with the semi-product<·,>A induced by the positive operator A.The upper and lower bound of numerical radius in semi-Hilbert space was improved by using basic inequalities,such as the power mean inequality.And the compari-sion with the existing inequalities was given.We also obtained a condition for establishing the equal-ity sign in the final conclusion.
A-numerical radiusinequalitiespositive operatorsemi-Hilbert space