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 …

ABSTRACT Let (H,〈·,·〉) be a complex Hilbert space and A be a positive bounded linear
operator on H. The semi-inner product〈 x, y〉 A:=〈 Ax, y〉, x, y∈ H, induces a semi …

Let A be a positive (semi-definite) bounded linear operator on a complex Hilbert space
(H,⟨·,·⟩). Let ω A (T) and‖ T‖ A denote the A-numerical radius and the A-operator …

In this paper, we prove that each of the following functions is convex on R: f (t)= wN (AtXA1−
t±A1− tXAt), g (t)= wN (AtXA1− t), and h (t)= wN (AtXAt) where A> 0, X∈ Mn and N (.) is a …

For a given bounded positive (semidefinite) linear operator $ A $ on a complex Hilbert space
$\big (\mathcal {H},\langle\cdot,\cdot\rangle\big) $, we consider the semi-Hilbertian space …

The paper deals with the generalized numerical radius of linear operators acting on a
complex Hilbert space H, which are bounded with respect to the seminorm induced by a …

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 …

The main goal of this article is to establish several new A A-numerical radius equalities for n
* nn× n circulant, skew circulant, imaginary circulant, imaginary skew circulant, tridiagonal …

Let 𝔸=(AOOA) be a 2× 2 diagonal operator matrix whose each diagonal entry is a bounded
positive (semi-definite) linear operator A acting on a complex Hilbert space ℋ. In this paper …

In diverse branches of mathematics, several inequalities have been studied and applied. In
this article, we improve Furuta's inequality. Subsequently, we apply this improvement to …