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 …

In this paper we present new upper bounds for the numerical radius of bounded linear
operators defined on a complex Hilbert space. Further we obtain estimations for upper …

Let A be a bounded linear operator on a complex Hilbert space and ℜ (A)(ℑ (A)) denote the
real part (imaginary part) of A. Among other refinements of the lower bounds for the …

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 …

Let $ A $ be a positive operator on a complex Hilbert space $\mathcal {H}. $ We present
inequalities concerning upper and lower bounds for $ A $-numerical radius of operators …

New inequalities for the numerical radius of bounded linear operators defined on a complex
Hilbert space HH are given. In particular, it is established that if T is a bounded linear …

Several refinements of norm and numerical radius inequalities of bounded linear operators
on a complex Hilbert space are given. In particular, we show that if A is a bounded linear …

If A, B are bounded linear operators on a complex Hilbert space, then we prove that w (A) ≤
& 1 2\left (‖ A ‖+ r\left (| A|| A^*|\right)\right),\w (AB ± BA) ≤ & 2 2 ‖ B ‖ w^ 2 (A)-c^ 2 (R …

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 present new upper and lower bounds for the numerical radius of a bounded linear
operator defined on a complex Hilbert space, which improve on the existing bounds. Among …