Resumen de Numerical Radius Inequalities Concerning with Algebra Norms

Ali Zamani, Mohammad Sal Moslehian, Qingxiang Xu, Chunghong Fu

• We present an expression for the generalized numerical radius associated with a norm on the algebra of bounded linear operators on a Hilbert space and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also establish some generalized numerical radius inequalities involving the product of two operators. Applications of our inequalities are also provided.