This book is a self-contained advanced monograph on inequalities involving the numerical
radius of bounded linear operators acting on complex Hilbert spaces. The study of various …

We obtain new inequalities involving Berezin norm and Berezin number of bounded linear
operators defined on a reproducing kernel Hilbert space H. Among many inequalities …

Let A= A ij be an n× n operator matrix, where each A ij is a bounded linear operator on a
complex Hilbert space. Among other numerical radius bounds, we show that w (A)≤ w (A^) …

Using the polar decomposition of a bounded linear operator A defined on a complex Hilbert
space, we obtain several numerical radius inequalities of the operator A, which generalize …

We develop upper and lower bounds for the numerical radius of 2× 2 off-diagonal operator
matrices, which generalize and improve on some existing ones. We also show that if A is a …

We establish new upper bounds for the Berezin number and Berezin norm of operator
matrices, which are refinements of existing bounds. Among other bounds, we prove that if …

We obtain several sharp lower and upper bounds for the Euclidean operator radius of a pair
of bounded linear operators defined on a complex Hilbert space. As applications of these …

We present some new upper and lower bounds for the numerical radius of bounded linear
operators on a complex Hilbert space and show that these are stronger than the existing …

This paper presents new lower and upper bounds for the Euclidean numerical radius of
operator pairs in Hilbert spaces, demonstrating improvements over recent results by other …

Several upper and lower bounds for the numerical radii of 2× 2 operator matrices are
developed which refine and generalize earlier related bounds. In particular, we show that if …