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 …

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 …

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 …

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 …

Extending certain scalar and norm inequalities, we present new inequalities for the
numerical radius, which generalize and refine some known results. Applications of the …

The goal of this study is to refine some numerical radius inequalities in a novel way. The
new improvements and refinements purify some famous inequalities pertaining to Hilbert …

Our aim in this article is to establish several new norm and numerical radius inequalities for
products and sums of operators acting on a complex Hilbert space (H,〈·,·〉). Some of the …

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 …

We derive various lower bounds for the numerical radius of a bounded linear operator
defined on a complex Hilbert space, which improve the existing inequality. In particular, for …

In this paper, we first give two new upper bounds for the numerical radius of the product of
two Hilbert space operators. The obtained bounds are compared numerically with previously …