Inequalities For Numerical Radius And The Spectral Norm Of Hilbert Space Operators

Abstract

Let (H,< .,. >) be a complex Hilbert space and B(H) denote the C-algebra of all bounded linear operators on H. In this paper we establishinequalities for numerical radius and the spectral norm of Hilbert spaceoperators , from the previous inequalitiesMathematics Subject Classi?cation: 47A12,47A63; 47A99.Keywords: Numerical Radius, Complex Hilbert Space, Operator Norm,Boundedlinear operators, Inequalities for norms and numerical radius.