F. Kıttaneh

Refined Inequalities For The q -Berezin Radii Of Operators On Reproducing Kernel Hilbert Spaces

Let [Formula: see text] be a reproducing kernel Hilbert space, fix [Formula: see text], and assume that its normalized kernel family contains pairs with inner product [Formula: see text]. We obtain upper bounds for the [Formula: see text]-Berezin radius in terms of the Berezin number and [Formula: see text], where [For...

Integral Representations and Sharp Numerical Radius Inequalities for Hilbert Space Operators

We study the numerical radius \(\omega(T)\) of a bounded linear operator \(T\) on a complex Hilbert space. Write \(T=A+iB\), where \(A\) and \(B\) are the real and imaginary parts of \(T\). A central result is the exact formula \[ \omega(T)=\frac{\pi}{2}\sup_{\|x\|=1}\int_0^1 \left|\left\langle (A\cos \pi t+B\sin \pi t...

Further q-Berezin Radius Inequalities on Reproducing Kernel Hilbert Spaces