In this article, we introduce the definition of the weighted numerical radius ω _ ν (T) ω ν (T) of
a Hilbert space operator T, and present. many interesting properties of this newly defined …

We prove an inner product inequality for Hilbert space operators. This inequality will be
utilized to present a general numerical radius inequality using convex functions …

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 …

This paper proves several new inequalities for the Euclidean operator radius, which refine
some recent results. It is shown that the new results are much more accurate than the …

We consider operator V on the reproducing kernel Hilbert space H=H(Ω) over some set Ω
with the reproducing kernel K_H,λ(z)=K(z,λ) and define A-Davis-Wielandt-Berezin radius …

This article improves the triangle inequality for complex numbers, using the Hermite-
Hadamard inequality for convex functions. Then, applications of the obtained refinement are …

This paper presents new lower and upper bounds for the Euclidean numerical radius of
operator pairs in Hilbert spaces, demonstrating improvements over recent results by other …

Let T be a bounded linear operator on a complex Hilbert space and dw (T) denote the Davis–
Wielandt radius of the operator T. We prove that dw 2 (T)≤ min 0≤ α≤ 1‖ α| T| 2+(1-α)| T∗ …

Abstract We study the Davis-Wielandt shell and the Davis-Wielandt radius of an operator on
a normed linear space X. We show that after a suitable modification, the modified Davis …

Let $ A $ be a positive (semidefinite) operator on a complex Hilbert space $\mathcal {H} $
and let $\mathbb {A}=\left (\begin {array}{cc} A & OO & A\end {array}\right). $ We obtain …