Composition operators, convexity of their Berezin range and related questions

Athul Augustine, M. Garayev, P. Shankar

The Berezin range of a bounded operator $T$ acting on a reproducing kernel Hilbert space $\mathcal{H}$ is the set $\text{Ber}(T)$ := $\{\langle T\hat{k}_{x},\hat{k}_{x} \rangle_{\m…