2019/10/15 by Pintu Bhunia, Kallol Paul · 1 citation
Mathematics · Computer Science · #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Holomorphic and Operator Theory
paper · pdf · doi:10.1080/03081087.2020.1781037
We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of n× n operator matrices by using non-negative continuous functions on [0,∞). We also obtain some upper and lower bounds for the B-numerical radius of operator matrices, where B is the diagonal operator matrix whose each diagonal entry is a positive operator A. We show that these bounds generalize and improve on the existing bounds.