Infinitely divisible metrics and curvature inequalities for operators in the Cowen-Douglas class

Shibananda Biswas, Dinesh Kumar Keshari, Gadadhar Misra

The curvature ${\mathcal{K}}_T(w)$ of a contraction $T$ in the Cowen-Douglas class $B_1(\mathbb{D})$ is bounded above by the curvature ${\mathcal{K}}_{S^{\ast }}(w)$ of the backward shift opera…