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 …

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 …

In this paper, we aim to introduce and characterize the numerical radius orthogonality of
operators on a complex Hilbert space HH which are bounded with respect to the seminorm …

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 …

We present new improvements of certain Cauchy–Schwarz type inequalities. As
applications of the results obtained, we provide refinements of some numerical radius …

In this article, we present some new general forms of numerical radius inequalities for Hilbert
space operators. The significance of these inequalities follow from the way they extend and …

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^) …

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 …