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 …

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 …

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 …

Let H be a complex Hilbert space and let A be a positive bounded linear operator on H. Let T
be an A-bounded operator on H. For rank (A)= n<∞, we show that if WA (T)⊆ D‾(={λ∈ C …

Let r A (T) denote the A-spectral radius of an operator T which is bounded with respect to the
seminorm induced by a positive operator A on a complex Hilbert space H. In this paper, we …

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 …

Let H be a complex Hilbert space, and A be a positive bounded linear operator on H. Let BA
(H) denote the set of all bounded linear operators on H whose A-adjoint exists. Let A denote …

Let H be a complex Hilbert space and let A be a positive operator on H. We obtain new
bounds for the A-numerical radius of operators in semi-Hilbertian space BA (H) that …