K. Shebrawi

most citedUpper bounds for numerical radius inequalities involving off-diagonal operator matrices

45 citations · 49 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2017★ 2 cited

Some generalizations of the Aluthge transform of operators

Mojtaba Bakherad, Khalid Shebrawi

Let $A = U ∣ A ∣$ be the polar decomposition of $A$ . The Aluthge transform of the operator $A$ , denoted by $A ~$ , is defined as $\tilde{A} =|A|^{\frac{1}{2}} U |A|^{\frac{1}{2}…

math.FA2017★ 2 cited

Sharpening Some Classical Numerical Radius Inequalities

H. R. Moradi, M. E. Omidvar, K. Shebrawi

New upper and lower bounds for the numerical radii of Hilbert space operators are given. Among our results, we prove that if $A \in B (H)$ is a hypo…

math.FA2017★ 45 cited

Upper bounds for numerical radius inequalities involving off-diagonal operator matrices

Mojtaba Bakherad, Khalid Shebrawi

In this paper, we establish some upper bounds for numerical radius inequalities including of $2 \times 2$ operator matrices and their off-diagonal parts. Among other inequalities, i…