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 the 2× 2 diagonal operator matrix determined by a positive bounded linear operator
A on a Hilbert space. In this paper, we give several upper bounds for the A-numerical radii of …

Let A be a positive bounded operator on a Hilbert space (H,<⋅,⋅>). The semi-inner product<
x, y> A:=< A x, y>, x, y∈ H, induces a seminorm‖⋅‖ A on H. Let‖ T‖ A, w A (T), and c A …

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 …

The aim of this paper is to provide new upper bounds of ω (T), which denotes the numerical
radius of a bounded operator T on a Hilbert space (H,〈·,·〉). We show the Aczél inequality in …

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 …

In this article, we obtain some upper bounds for A-numerical radius of operators in semi-
Hilbertian spaces which improve the existing ones. Furthermore, we discuss some …

We present sharp lower bounds for the A-numerical radius of semi-Hilbertian space
operators. We also present an upper bound. Further we compute new upper bounds for the …

New inequalities for the $ A $-numerical radius of the products and sums of operators acting
on a semi-Hilbert space, ie a space generated by a positive semidefinite operator $ A $, are …

Let $ A $ be a positive bounded linear operator acting on a complex Hilbert space $\big
(\mathcal {H},\langle\cdot\mid\cdot\rangle\big) $. Let $\omega_A (T) $ and ${\| T\|} _A …