Geometric properties of the nonlinear resolvent of holomorphic generators

Mark Elin, David Shoikhet, Toshiyuki Sugawa

Let $f$ be the infinitesimal generator of a one-parameter semigroup ${\left\{F_t\right\}}_{t\ge 0}$ of holomorphic self-mappings of the open unit disk $\Delta$. In this paper we study…